Liste des publications de l’équipe PM-EDP

  • Phan van Tin. A COMPACT ATTRACTOR FOR ENERGY CRITICAL AND SUPER-CRITICAL NLS. 2024. (hal-04406387⟩
  • Thomas Duyckaerts, Phan van Tin. Profile Decomposition And Scattering For General Nonlinear Schrödinger Equations. 2024. (hal-04398984v2⟩
  • Hakim Boumaza, Sylvain Zalczer. Localization for quasi-one-dimensional Dirac operators. 2024. (hal-04520883⟩
  • Francis Nier, Xingfeng Sang, Francis White. Global subelliptic estimates for geometric Kramers-Fokker-Planck operators on closed manifolds. 2024. (hal-04447696⟩
  • Phan van Tin. ON A GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION. 2024. (hal-04398988⟩
  • Yannick Guedes Bonthonneau, Colin Guillarmou, Malo Jézéquel. Scattering rigidity for analytic metrics. Cambridge Journal of Mathematics, 2024, 12 (1), pp.165-222. (10.4310/CJM.2024.v12.n1.a2⟩. ⟨hal-03694664⟩
  • Hakim Boumaza, Olivier Lafitte. Analytic expression of the DOS for a new model of 1d-potential and its random perturbation. 2024. (hal-04518643⟩
  • Thomas Duyckaerts, Phan van Tin. Mass-energy Scattering Criterion For Double Power Schrödinger Equations. 2024. (hal-04464740⟩
  • Jacek Jendrej, Andrew Lawrie. Soliton resolution for the energy-critical nonlinear wave equation in the radial case. Annals of PDE, 2023, 9 (2), pp.18. (10.1007/s40818-023-00159-4⟩. ⟨hal-03852322⟩
  • Asma Azaiez, Mondher Benjemaa, Aida Jrajria, Hatem Zaag. An explicit discontinuous Galerkin method for blow-up solutions of nonlinear wave equations. Turkish Journal of Mathematics, 2023, 47 (3), pp.1015-1038. (10.55730/1300-0098.3408⟩. ⟨hal-03090639⟩
  • Mondher Benjemaa, Aida Jrajria, Hatem Zaag. Rescaling method for blow-up solutions of nonlinear wave equations. 2023. (hal-04307463⟩
  • Hakim Boumaza. Localization for random quasi-one-dimensional models. 2023. (hal-04091281v2⟩
  • Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Modulation theory for the flat blowup solutions of nonlinear heat equation. Communications on Pure and Applied Analysis, 2023, 22 (10), pp.2925-2959. (10.3934/cpaa.2023094⟩. ⟨hal-03873065⟩
  • Giao Ky Duong, Tej-Eddine Ghoul, Hatem Zaag. Sharp equivalent for the blowup profile to the gradient of a solution to the semilinear heat equation. Discrete and Continuous Dynamical Systems - Series A, 2023, (10.3934/dcds.2023136⟩. ⟨hal-03418325⟩
  • Haocheng Yang. Microlocal Partition of Energy for Fractional-Type Dispersive Equations. 2023. (hal-04219225⟩
  • Gong Chen, Jacek Jendrej. Asymptotic stability and classification of multi-solitons for Klein-Gordon equations. 2023. (hal-03964308⟩
  • Tristan Roy, Hatem Zaag. The blow-up rate for a loglog non-scaling invariant semilinear wave equation. 2023. (hal-04307461⟩
  • Stefan Bittner, Clément Lafargue, Dominique Decanini, Alain Grigis, Barbara Dietz, et al.. Möbius strip microlasers: Quantum chaos on curved surfaces. 2023 Conference on Lasers and Electro-Optics: Applications and Technology (CLEO 2023), May 2023, San Jose, CA, United States. pp.JW2A.151, (10.1364/CLEO_AT.2023.JW2A.151⟩. ⟨hal-04178216⟩
  • Yi C. Huang, Hatem Zaag. Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors. Journal of Evolution Equations, In press. (hal-03873061⟩
  • Yannick Guedes Bonthonneau, Colin Guillarmou, Tobias Weich. SRB MEASURES FOR ANOSOV ACTIONS. Journal of Differential Geometry, In press. (hal-03325073v3⟩
  • Frank Merle, Hatem Zaag. On degenerate blow-up profiles for the subcritical semilinear heat equation. Journal of the European Mathematical Society, In press. (hal-03873073⟩
  • Michael Hitrik, Richard Lascar, Johannes Sjöstrand, Maher Zerzeri. Semiclassical Gevrey operators in the complex domain. Annales de l'Institut Fourier, 2023, 73 (3), pp.1269-1318. (10.5802/aif.3546⟩. ⟨hal-03915025⟩
  • Jean-Pierre Eckmann, Farbod Hassani, Hatem Zaag. Instabilities Appearing in Effective Field theories: When and How?. Nonlinearity, 2023, 36 (9), pp.4844-4861. (10.1088/1361-6544/ace769⟩. ⟨hal-03873076⟩
  • Giao Ky Duong, Nejla Nouaili, Hatem Zaag. FLAT BLOW-UP SOLUTIONS FOR THE COMPLEX GINZBURG LANDAU EQUATION. 2023. (hal-04197208⟩
  • Hakim Boumaza. Opérateurs unidimensionnels et quasi-unidimensionnels en mécanique quantique. Mathématiques [math]. Université Sorbonne Paris Nord (Paris 13), 2023. (tel-04518650⟩
  • Jean-François Bony, Setsuro Fujiié, Thierry Ramond, Maher Zerzeri. An example of resonance instability. Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2023, 32 (3), pp.535-554. (10.5802/afst.1743⟩. ⟨hal-03047039⟩
  • Tan-Sy Nguyen, Marie Luong, John Chaussard, Azeddine Beghdadi, Hatem Zaag, et al.. A Quality-Oriented Database for Video Capsule Endoscopy. IEEE; IEEE, pp.1-6, 2023, (10.1109/EUVIP58404.2023.10323071⟩. ⟨hal-04307458⟩
  • Francis Nier, Christian Gérard. Mourre theory for analytically fibered operators revisited. 2023. (hal-04222439⟩
  • Van Tien Nguyen, Nejla Nouaili, Hatem Zaag. CONSTRUCTION OF TYPE I-LOG BLOWUP FOR THE KELLER-SEGEL SYSTEM IN DIMENSIONS 3 AND 4. 2023. (hal-04217116⟩
  • Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters. Memoirs of the American Mathematical Society, 2023, 285 (1411), (10.1090/memo/1411⟩. ⟨hal-04307478⟩
  • Jean-Marc Delort. Norm inflation for solutions of semi-linear one dimensional Klein-Gordon equations. 2023. (hal-04063670⟩
  • Yann Chaubet, Yannick Guedes Bonthonneau, Thibault Lefeuvre, Leo Tzou. Geodesic L\'evy flights and expected stopping time for random searches. 2023. (hal-03992400⟩
  • Jacek Jendrej, Andrew Lawrie, Casey Rodriguez. Dynamics of Bubbling Wave Maps with Prescribed Radiation. Annales Scientifiques de l'École Normale Supérieure, 2022. (hal-02370583⟩
  • Asma Azaiez, Hatem Zaag. Classification of the blow-up behavior for a semilinear wave equation with nonconstant coefficients. Annales Henri Poincaré, 2022, 24 (4), pp.1417-1437. (10.1007/s00023-022-01247-0⟩. ⟨hal-02324952⟩
  • Louis Jeanjean, Jacek Jendrej, Thanh Trung Le, Nicola Visciglia. Orbital stability of ground states for a Sobolev critical Schrödinger equation. J. Math. Pures Appl., 2022. (hal-03037085⟩
  • Michael Hitrik, Richard Lascar, Johannes Sjöstrand, Maher Zerzeri. Semiclassical Gevrey operators and magnetic translations. Journal of Spectral Theory, 2022, 12 (1), pp.53-82. (10.4171/JST/394⟩. ⟨hal-03891988⟩
  • G.K. Duong, T.E. Ghoul, N.I. Kavallaris, Hatem Zaag. Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters. Journal of Differential Equations, 2022, 336, pp.73-125. (10.1016/j.jde.2022.07.010⟩. ⟨hal-03418327⟩
  • Gong Chen, Jacek Jendrej. Strichartz estimates for Klein-Gordon equations with moving potentials. 2022. (hal-03852324⟩
  • Jean-Marc Delort. Microlocal partition of energy for linear wave or Schrödinger equations. Tunisian Journal of Mathematics, 2022. (hal-03227390v3⟩
  • Jacek Jendrej, Andrew Lawrie. Bubble decomposition for the harmonic map heat flow in the equivariant case. 2022. (hal-03852325⟩
  • Michael Hitrik, Richard Lascar, Johannes Sjöstrand, Maher Zerzeri. Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions. Pure and Applied Functional Analysis, 2022, 7 (2), pp.641-653. (hal-03909046⟩
  • Charles Collot, Thomas Duyckaerts, Carlos Kenig, Frank Merle. Soliton resolution for the radial quadratic wave equation in six space dimensions. 2022. (hal-03811434⟩
  • Jacek Jendrej, Michał Kowalczyk, Andrew Lawrie. Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. Duke Mathematical Journal, 2022, 171 (18), (10.1215/00127094-2022-0050⟩. ⟨hal-03365809⟩
  • Thomas Duyckaerts, Carlos E. Kenig, Frank Merle. Soliton resolution for the radial critical wave equation in all odd space dimensions. 2022. (hal-03860715⟩
  • Tan-Sy Nguyen, John Chaussard, Marie Luong, Hatem Zaag, Azeddine Beghdadi. A No-Reference Measure for Uneven Illumination Assessment on Laparoscopic Images. IEEE, pp.4103-4107, 2022, (10.1109/ICIP46576.2022.9897302⟩. ⟨hal-03902301⟩
  • Zdzisław Brzeźniak, Jacek Jendrej. Statistical mechanics of the wave maps equation in dimension 1+1. 2022. (hal-03852323⟩
  • Bouthaina Abdelhedi, Hatem Zaag. Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term. Journal of Mathematical Analysis and Applications, 2022, 515 (2), pp.126447. (10.1016/j.jmaa.2022.126447⟩. ⟨hal-03873100⟩
  • Mohamed Ali Hamza, Hatem Zaag. The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation. Archive for Rational Mechanics and Analysis, 2022, 244 (1), pp.87-125. (10.1007/s00205-022-01760-w⟩. ⟨hal-03873110⟩
  • Jean-Marc Delort, Nader Masmoudi. Long-time dispersive estimates for perturbations of a kink solution of one-dimensional cubic wave equations. EMS Press, 1 (1), 295 p., 2022, Memoirs of the european mathematical society, 978-3-98547-020-4. (10.4171/MEMS/1⟩. ⟨hal-02862414v4⟩
  • Ping Lin, Hatem Zaag. Feedback controllability for blowup points of the heat equation. Journal de Mathématiques Pures et Appliquées, 2022, 168, pp.65-107. (10.1016/j.matpur.2022.09.010⟩. ⟨hal-03873097⟩
  • Jacek Jendrej, Panayotis Smyrnelis. Nondegeneracy of heteroclinic orbits for a class of potentials on the plane. Applied Mathematics Letters, 2022, 124, (10.1016/j.aml.2021.107681⟩. ⟨hal-03365746⟩
  • Jacek Jendrej, Andrew Lawrie. Soliton resolution for energy-critical wave maps in the equivariant case. J. Amer. Math. Soc., In press. (hal-03365769⟩
  • Jacek Jendrej, Andrew Lawrie. An asymptotic expansion of two-bubble wave maps in high equivariant classes. Analysis & PDE, 2022. (hal-03037088⟩
  • Yann Chaubet, Yannick Guedes Bonthonneau. Resolvent of vector fields and Lefschetz numbers. 2022. (hal-03857010⟩
  • Gong Chen, Jacek Jendrej. Kink networks for scalar fields in dimension 1+1. Nonlinear Analysis, 2022, 215, (10.1016/j.na.2021.112643⟩. ⟨hal-03365781⟩
  • Thomas Duyckaerts, Oussama Landoulsi, Svetlana Roudenko. Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle. Journal of Functional Analysis, 2022, 282 (5), pp.109326. (10.1016/j.jfa.2021.109326⟩. ⟨hal-03860639⟩
  • Colin Guillarmou, Thibault de Poyferré, Yannick Guedes Bonthonneau. A paradifferential approach for hyperbolic dynamical systems and applications. Tunisian Journal of Mathematics, 2022, 4 (4), pp.673-718. (10.2140/tunis.2022.4.673⟩. ⟨hal-03452643⟩
  • Thomas Duyckaerts, David Lafontaine. Scattering for critical radial Neumann waves outside a ball. Revista Matemática Iberoamericana, 2022, 38 (2), pp.659-703. (10.4171/RMI/1290⟩. ⟨hal-03860699⟩
  • Thomas Duyckaerts, Carlos Kenig, Yvan Martel, Frank Merle. Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation. Communications in Mathematical Physics, 2022, 391 (2), pp.779-871. (10.1007/s00220-022-04330-z⟩. ⟨hal-03860653⟩
  • Safaa Al-Ali, John Chaussard, Sébastien Li-Thiao-Té, Hatem Zaag. Automatic detection of bleeding and ulcers in endoscopic videos for ulcerative colitis. 2021. (hal-03418329⟩
  • Bouthaina Abdelhedi, Hatem Zaag. Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient term. Journal of Differential Equations, 2021, 272, pp.1-45. (10.1016/j.jde.2020.09.020⟩. ⟨hal-02370323⟩
  • Wei Dai, Thomas Duyckaerts. Self-similar solutions of focusing semi-linear wave equations in $${\mathbb {R}}^{N}$$. Journal of Evolution Equations, 2021, 21 (4), pp.4703-4750. (10.1007/s00028-021-00730-1⟩. ⟨hal-03860702⟩
  • Wei Dai, Thomas Duyckaerts. Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in $\mathbb{R}^n$. Publicacions Matemàtiques, 2021, 65, pp.319-333. (10.5565/PUBLMAT6512111⟩. ⟨hal-03860665⟩
  • Takuya Watanabe, Maher Zerzeri. Landau–Zener formula in a “non-adiabatic” regime for avoided crossings. Analysis and Mathematical Physics, 2021, 11 (2), pp.82. (10.1007/s13324-021-00515-2⟩. ⟨hal-03915021⟩
  • Johannes Sjöstrand, Maher Zerzeri. Resonances over a potential well in an island. Arkiv för Matematik, 2021, 59 (2), pp.385-437. (10.4310/ARKIV.2021.v59.n2.a7⟩. ⟨hal-03885064⟩
  • Bouthaina Abdelhedi, Hatem Zaag. Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (8), pp.2607. (10.3934/dcdss.2021032⟩. ⟨hal-03418341⟩
  • Frank Merle, Hatem Zaag. Behavior Rigidity Near Non-Isolated Blow-up Points for the Semilinear Heat Equation. International Mathematics Research Notices, 2021, 2022 (20), pp.16196-16260. (10.1093/imrn/rnab169⟩. ⟨hal-03418330⟩
  • Yannick Guedes Bonthonneau, Tobias Weich. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 2021, (10.4171/JEMS/1103⟩. ⟨hal-03435751⟩
  • Jacek Jendrej, Andrew Lawrie. Continuous time soliton resolution for two-bubble equivariant wave maps. Mathematics Research Letters, In press. (hal-03037087⟩
  • Thomas Duyckaerts. A geometric condition for the uniform stability of linear magnetoelasticity. ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.82. (10.1051/cocv/2021064⟩. ⟨hal-03860706⟩
  • G. Duong, N. Kavallaris, Hatem Zaag. Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system. Mathematical Models and Methods in Applied Sciences, 2021, 31 (07), pp.1469-1503. (10.1142/S0218202521500305⟩. ⟨hal-03418340⟩
  • Grégoire Nadin, Eric Ogier-Denis, Ana Toledo, Hatem Zaag. A Turing mechanism in order to explain the patchy nature of Crohn’s disease. Journal of Mathematical Biology, 2021, 83 (2), pp.12. (10.1007/s00285-021-01635-w⟩. ⟨hal-03418354⟩
  • Francis Nier, Shu Shen. Bismut hypoelliptic Laplacians for manifolds with boundaries. 2021. (hal-03278062v2⟩
  • Yannick Guedes Bonthonneau, Thibault Lefeuvre. Radial source estimates in H\"older-Zygmund spaces for hyperbolic dynamics. 2021. (hal-03435760⟩
  • Thomas Duyckaerts, Carlos Kenig, Frank Merle. Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation. The Journal of Geometric Analysis, 2021, 31 (7), pp.7036-7074. (10.1007/s12220-020-00591-z⟩. ⟨hal-03860658⟩
  • Jacek Jendrej, Andrew Lawrie. Uniqueness of two-bubble wave maps. Communications on Pure and Applied Mathematics, In press. (hal-02370604⟩
  • Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Refined asymptotic for the blow-up solution of the Complex Ginzburg-Landau equation in the subcritical case. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press, 39 (1), pp.41-85. (10.4171/AIHPC/2⟩. ⟨hal-03090581⟩
  • Thomas Duyckaerts, Jianwei Urbain Yang. Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle. Annales de l'Institut Fourier, 2021, 71 (5), pp.1845-1884. (10.5802/aif.3447⟩. ⟨hal-03860667⟩
  • Mohamed Ali Hamza, Hatem Zaag. The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions. Nonlinear Analysis: Theory, Methods and Applications, 2021, 212, pp.112445. (10.1016/j.na.2021.112445⟩. ⟨hal-03418338⟩
  • Mohamed Ali Hamza, Hatem Zaag. The blow-up rate for a non-scaling invariant semilinear wave equations. Journal of Mathematical Analysis and Applications, 2020, 483 (2), pp.123652. (10.1016/j.jmaa.2019.123652⟩. ⟨hal-02356801⟩
  • Emmanuel Schenck. Exponential gaps in the length spectrum. Journal of modern dynamics, 2020, 16, pp.207-223. (10.3934/jmd.2020007⟩. ⟨hal-03880409⟩
  • Mona Ben Said, Francis Nier, Joe Viola. Quaternionic structure and analysis of some Kramers–Fokker–Planck operators. Asymptotic Analysis, 2020, 119 (1-2), pp.87-116. (10.3233/ASY-191569⟩. ⟨hal-03861257⟩
  • Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Construction of type I blowup solutions for a higher order semilinear parabolic equation. Advances in Nonlinear Analysis, 2020, 9 (1), pp.388-412. (10.1515/anona-2020-0006⟩. ⟨hal-02324972⟩
  • Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for the Complex Ginzburg-Landau equation with critical parameters. Memoirs of the American Mathematical Society, In press. (hal-02447669⟩
  • Hakim Boumaza, Olivier Lafitte. Integrated density of states: from the finite range to the periodic Airy-Schroedinger operator. 2020. (hal-02964056⟩
  • Jacek Jendrej, Yvan Martel. Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5. Journal de Mathématiques Pures et Appliquées, 2020, 139, pp.317-355. (10.1016/j.matpur.2020.02.007⟩. ⟨hal-02370549⟩
  • Thomas Duyckaerts, Alain Grigis, André Martinez. Excited resonance widths for Helmholtz resonators with straight neck. Journal of Spectral Theory, 2020, 10 (2), pp.561-580. (10.4171/JST/304⟩. ⟨hal-03905070⟩
  • Bérangère Delourme, Thomas Duyckaerts, Nicolas Lerner. On Integrals Over a Convex Set of the Wigner Distribution. Journal of Fourier Analysis and Applications, 2020, 26 (1), pp.6. (10.1007/s00041-019-09722-9⟩. ⟨hal-03860722⟩
  • Ian Morilla, Thibaut Léger, Assiya Marah, Isabelle Pic, Hatem Zaag, et al.. Singular manifolds of proteomic drivers to model the evolution of inflammatory bowel disease status. Scientific Reports, 2020, 10 (1), pp.19066. (10.1038/s41598-020-76011-7⟩. ⟨hal-03003635⟩
  • Dorian Le Peutrec, Francis Nier, Claude Viterbo. Bar codes of persistent cohomology and Arrhenius law for p-forms. 2020. (hal-02471644⟩
  • Giao Ky Duong, Hatem Zaag. Profile of a touch-down solution to a nonlocal MEMS model. Mathematical Models and Methods in Applied Sciences, 2019, 29 (07), pp.1279-1348. (10.1142/S0218202519500222⟩. ⟨hal-02324964⟩
  • Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rébaï, Hasna Riahi, Hatem Zaag. Partial Differential Equations Arising from Physics and Geometry. Cambridge University Press, 1, 2019, (10.1017/9781108367639⟩. ⟨hal-02324982⟩
  • Mohamed Ali Hamza, Hatem Zaag. Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation. Journal of Differential Equations, 2019, 267 (6), pp.3524-3560. (10.1016/j.jde.2019.04.018⟩. ⟨hal-02324960⟩
  • Zied Ammari, Sébastien Breteaux, Francis Nier. Quantum mean field asymptotics and multiscale analysis. Tunisian Journal of Mathematics, 2019, 1 (2), pp.221-272. (10.2140/tunis.2019.1.221⟩. ⟨hal-01442714⟩
  • Thomas Duyckaerts, Carlos Kenig, Frank Merle. Scattering profile for global solutions of the energy-critical wave equation. Journal of the European Mathematical Society, 2019, 21 (7), pp.2117-2162. (10.4171/JEMS/882⟩. ⟨hal-03860674⟩
  • Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems. Advances in Pure and Applied Mathematics, 2019, 10 (4), pp.299-312. (10.1515/apam-2018-0168⟩. ⟨hal-02324968⟩
  • Giao Ky Duong, van Tien Nguyen, Hatem Zaag. Construction of a stable blowup solution with a prescribed behavior for a non-scaling-invariant semilinear heat equation. Tunisian Journal of Mathematics, 2019, 1 (1), pp.13-45. (10.2140/tunis.2019.1.13⟩. ⟨hal-02325012⟩
  • Emmanuel Schenck. Resonances near the real axis for manifolds with hyperbolic trapped sets. American Journal of Mathematics, 2019, 141 (3), pp.757-812. (10.1353/ajm.2019.0016⟩. ⟨hal-03880404⟩
  • Slim Tayachi, Hatem Zaag. Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Transactions of the American Mathematical Society, 2019, 371 (8), pp.5899-5972. (10.1090/tran/7631⟩. ⟨hal-02325185⟩
  • Asma Azaiez, Nader Masmoudi, Hatem Zaag. Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension. Mohamed Ben Ayed. Partial Differential Equations arising from Physics and Geometry, Cambridge University Press, 2019. (hal-02325078⟩
  • Francis Nier. Variations sur un théorème de Stone-Von Neumann. Heisenberg et son groupe. Journées mathématiques X-UPS 2018, 2019. (hal-03861275⟩
  • Mona Ben Said, Francis Nier, Joe Viola. Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. 2019. (hal-01830130v2⟩
  • Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Barrier-top resonances for non globally analytic potentials. Journal of Spectral Theory, 2019, 9 (1), pp.315-348. (10.4171/JST/249⟩. ⟨hal-02400050⟩
  • Francis Nier. Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries. Memoirs of the American Mathematical Society, 2018, 252 (1200), (10.1090/memo/1200⟩. ⟨hal-03861269⟩
  • Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case. Archive for Rational Mechanics and Analysis, 2018, Arch. Ration. Mech. Anal., 228 (3), pp.995-1058. (hal-01490862⟩
  • Thomas Duyckaerts, Jianwei Yang. Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations. Analysis & PDE, 2018, 11 (4), pp.983-1028. (10.2140/apde.2018.11.983⟩. ⟨hal-03860676⟩
  • Jacek Jendrej. Dynamics of strongly interacting unstable two-solitons for generalized Korteweg-de Vries equations. 2018. (hal-02370537⟩
  • Massimiliano Berti, Jean-Marc Delort. Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions. Cham: Springer; Bologna: Unione Matematica Italiana (UMI), 24, 2018, Lecture Notes of the Unione Matematica Italiana, 978-3-319-99485-7. (hal-01457217v2⟩
  • Jean-François Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Resonances for homoclinic trapped sets. Asterisque, 2018, 405. (hal-02400141⟩
  • Jean-Marc Delort. Long time existence results for Hamiltonian non-linear Klein-Gordon equations on some compact manifolds. The Role of Metrics in the Theory of Partial Differential Equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2--13 2018, Jul 2018, Sapporo, Japan. (10.2969/aspm/08510001⟩. ⟨hal-01892142⟩
  • Jean-Marc Delort. Long time existence results for solutions of water waves equations. International Congress of Mathematicians, International Mathematics Union, Aug 2018, Rio de Janeiro, Brazil. pp.2259. (hal-01856416⟩
  • Frank Merle, Hatem Zaag. Blowup Solutions to the Semilinear Wave Equation with a Stylized Pyramid as a Blowup Surface. Communications on Pure and Applied Mathematics, 2018, 71 (9), pp.1850-1937. (10.1002/cpa.21756⟩. ⟨hal-02325056⟩
  • Thomas Duyckaerts, Hao Jia, Carlos Kenig, Frank Merle. Universality of Blow up Profile for Small Blow up Solutions to the Energy Critical Wave Map Equation. International Mathematics Research Notices, 2018, 2018 (22), pp.6961-7025. (10.1093/imrn/rnx073⟩. ⟨hal-03860681⟩
  • Hakim Boumaza, Olivier Lafitte. The band spectrum of the periodic Airy–Schrödinger operator on the real line. Journal of Differential Equations, 2018, 264 (1), pp.455-505. (10.1016/j.jde.2017.09.013⟩. ⟨hal-03916543⟩
  • Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Construction and stability of blowup solutions for a non-variational semilinear parabolic system. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018, 35 (6), pp.1577-1630. (10.1016/j.anihpc.2018.01.003⟩. ⟨hal-02325046⟩
  • Giuseppe Negro. Sharp estimates for linear and nonlinear wave equations via the Penrose transform. Analysis of PDEs [math.AP]. Université Sorbonne Paris Cité; Universidad autonóma de Madrid, 2018. English. (NNT : 2018USPCD071⟩. ⟨tel-02619753⟩
  • Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Blowup solutions for a reaction–diffusion system with exponential nonlinearities. Journal of Differential Equations, 2018, 264 (12), pp.7523-7579. (10.1016/j.jde.2018.02.022⟩. ⟨hal-02324998⟩
  • Asma Azaiez, Hatem Zaag. A modulation technique for the blow-up profile of the vector-valued semilinear wave equation. Bulletin des Sciences Mathématiques, 2017, 141 (4), pp.312-352. (10.1016/j.bulsci.2017.04.001⟩. ⟨hal-02325035⟩
  • Zied Ammari, Quentin Liard, Clément Rouffort, Francis Nier. On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation.Arai, Asao (ed.) et al., Mathematical quantum field theory and related topics. Proceedings of the conference, Kyushu University, IMI, Fukuoka, Japan, June 6–8, 2016. Fukuoka: Kyushu University, Institute of Mathematics for Industry and Graduate School of Mathematics. MI Lecture Note 72, 85-89 (2017).. 2017. (hal-03861277⟩
  • van Tien Nguyen, Hatem Zaag. Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation. Annales Scientifiques de l'École Normale Supérieure, 2017, 50 (5), pp.1241-1282. (10.24033/asens.2644⟩. ⟨hal-02325168⟩
  • Ian Morilla, Mathieu Uzzan, Dominique Cazals-Hatem, Hatem Zaag, Eric Ogier-Denis, et al.. Topological Modelling of Deep Ulcerations in Patients with Ulcerative Colitis. Journal of Applied Mathematics and Physics, 2017, 05 (11), pp.2244-2261. (10.4236/jamp.2017.511183⟩. ⟨hal-02324993⟩
  • Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation. Advanced Nonlinear Studies, 2017, 17 (1), (10.1515/ans-2016-6005⟩. ⟨hal-02325052⟩
  • Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Propagation des singularités et résonances. Comptes Rendus. Mathématique, 2017, 355 (8), pp.887-891. (10.1016/j.crma.2017.06.008⟩. ⟨hal-02505833⟩
  • Jean-François Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Quantization condition for multi-barrier resonances. RIMS Kokyuroku Bessatsu, 2017, B67, pp.43-53. (hal-02505862⟩
  • Hakim Boumaza, Olivier Lafitte. The band spectrum of the periodic airy-schrodinger operator on the real line. 2017. (hal-01343538v2⟩
  • Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term. Journal of Differential Equations, 2017, 263 (8), pp.4517-4564. (10.1016/j.jde.2017.05.023⟩. ⟨hal-02325040⟩
  • Jean-Marc Delort, Rafik Imekraz. Long time existence for the semi-linear Klein-Gordon equation on a compact boundaryless Riemannian manifold. Communications in Partial Differential Equations, 2017, 42 (3), pp.388-416. (hal-01346519⟩
  • Thomas Duyckaerts, Hao Jia, Carlos Kenig, Frank Merle. Soliton resolution along a sequence of times for the focusing energy critical wave equation. Geometric And Functional Analysis, 2017, 27 (4), pp.798-862. (10.1007/s00039-017-0418-7⟩. ⟨hal-03860688⟩
  • Kais Ammari, Mouez Dimassi, Maher Zerzeri. Rate of decay of some abstract Petrowsky-like dissipative semi-groups. Semigroup Forum, 2016, 93 (1), pp.1-16. (10.1007/s00233-015-9728-y⟩. ⟨hal-02508530⟩
  • Hatem Zaag, van Tien Nguyen. Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2016, (10.2422/2036-2145.201412_001⟩. ⟨hal-02325227⟩
  • Frank Merle, Hatem Zaag. Solution to the semilinear wave equation with a pyramid-shaped blow-up surface. Séminaire Laurent Schwartz - EDP et applications, 2016, pp.1-13. (10.5802/slsedp.104⟩. ⟨hal-02325005⟩
  • Jean-Marc Delort. Modified scattering for odd solutions of cubic nonlinear Schrödinger equations with potential in dimension one. 2016. (hal-01396705⟩
  • Jean-Marc Delort. Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations. Annales de l'Institut Fourier, 2016. (hal-00945805v2⟩
  • van Tien Nguyen, Hatem Zaag. Blow-up results for a strongly perturbed semilinear heat equation: theoretical analysis and numerical method. Analysis & PDE, 2016, 9 (1), pp.229-257. (10.2140/apde.2016.9.229⟩. ⟨hal-02325199⟩
  • Frank Merle, Hatem Zaag. Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions. Transactions of the American Mathematical Society, 2016, 368 (1), pp.27-87. (10.1090/tran/6450⟩. ⟨hal-02325237⟩
  • Hakim Boumaza, Laurent Marin. Absence of absolutely continuous spectrum for random scattering zippers. Journal of Mathematical Physics, 2015, 56 (2). (hal-00800028⟩
  • Frank Merle, Hatem Zaag. On the Stability of the Notion of Non-Characteristic Point and Blow-Up Profile for Semilinear Wave Equations. Communications in Mathematical Physics, 2015, 333 (3), pp.1529-1562. (10.1007/s00220-014-2132-8⟩. ⟨hal-02325234⟩
  • Tony Lelièvre, Francis Nier. Low temperature asymptotics for quasistationary distributions in a bounded domain. Analysis & PDE, 2015, 8 (3), pp.561-628. (10.2140/apde.2015.8.561⟩. ⟨hal-03861283⟩
  • Slim Tayachi, Hatem Zaag. Existence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term. Actes du Colloque EDP Normandie, 2015. (hal-02325133⟩
  • Nejla Nouaili, Hatem Zaag. Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation. Communications in Partial Differential Equations, 2015, 40 (7), pp.1197-1217. (10.1080/03605302.2015.1018997⟩. ⟨hal-02325308⟩
  • Zied Ammari, Francis Nier. Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2015, XIV (1), pp.155-220. (10.2422/2036-2145.201112_004⟩. ⟨hal-00644656v2⟩
  • Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for a complex nonlinear heat equation.. Communications in Partial Differential Equations, 2015, 40 (7), pp. 1197-1217. (hal-01252918⟩
  • Francis Nier. Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. (English) Zbl 07270990 Kirillov, Oleg N. (ed.) et al., Nonlinear physical systems. Spectral analysis, stability and bifurcations. London: ISTE; Hoboken, NJ: John Wiley & Sons. Mech. Eng. Solid Mech. Ser., 331-350 (2014).. 2014. (hal-03861286⟩
  • Jean Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Width of resonances created by homoclinic orbits - isotropic fixed point case. RIMS Kôkyûroku Bessatsu, 2014, Spectral and scattering theory and related topics, B45, pp.31-43. (hal-01446249⟩
  • Kais Ammari, Mouez Dimassi, Maher Zerzeri. The rate at which energy decays in a viscously damped hinged Euler-Bernoulli beam.. Journal of Differential Equations, 2014, 257 (9), pp.3501-3520. (10.1016/j.jde.2014.06.020⟩. ⟨hal-01018783⟩
  • Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. WKB solutions near an unstable equilibrium and applications. Nonlinear physical systems, Mech. Eng. Solid Mech. Ser., Wiley, pp.15-39, 2014. (hal-01446242⟩
  • Zied Ammari, Maher Zerzeri. On the classical limit of self-interacting quantum field Hamiltonians with cutoffs. Hokkaido Mathematical Journal, 2014, 43 (3), pp.385-425. (10.14492/hokmj/1416837571⟩. ⟨hal-00763621⟩
  • Jean Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Resonances generated by a homoclinic curve. RIMS Hokyuroku Bessatsu, 2014, A paraître. (hal-00994385⟩
  • Kais Ammari, Mouez Dimassi, Maher Zerzeri. Rate of decay of some Petrowsky-like dissipative systems. 2014. (hal-01018784v2⟩
  • Hakim Boumaza, Hatem Najar. Lifshitz tails for matrix-valued Anderson models. 2013. (hal-00640591v2⟩
  • Thomas Alazard, Jean-Marc Delort. Global solutions and asymptotic behavior for two dimensional gravity water waves. 2013. (hal-00844304⟩
  • Mohamed-Ali Hamza, Hatem Zaag. Blow-up results for semilinear wave equations in the superconformal case. Discrete and Continuous Dynamical Systems - Series B, 2013, 18 (9), pp.2315-2329. (10.3934/dcdsb.2013.18.2315⟩. ⟨hal-02325315⟩
  • Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for a complex nonlinear heat equation.. 2013. (hal-00835338⟩
  • Jean Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. WKB solutions near an unstable equilibrium and applications. Nonlinear physical systems: spectral analysis, stability and bifurcations, Wiley−ISTE, pp.15-41, 2013. (hal-00994390⟩
  • Raphaël Côte, Hatem Zaag. Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension. Communications on Pure and Applied Mathematics, 2013, 66 (10), pp.1541-1581. (10.1002/cpa.21452⟩. ⟨hal-00638545⟩
  • Thomas Alazard, Jean-Marc Delort. Sobolev estimates for two dimensional gravity water waves. 2013. (hal-00844205⟩
  • M.A. Hamza, Hatem Zaag. Blow-up behavior for the Klein–Gordon and other perturbed semilinear wave equations. Bulletin des Sciences Mathématiques, 2013, 137 (8), pp.1087-1109. (10.1016/j.bulsci.2013.05.004⟩. ⟨hal-02325318⟩
  • Frank Merle, Hatem Zaag. Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension. American Journal of Mathematics, 2012, 134 (3), pp.581-648. (10.1353/ajm.2012.0021⟩. ⟨hal-03418395⟩
  • Kaïs Ammari, Thomas Duyckaerts, Armen Shirikyan. Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation. 2012. (hal-00759119⟩
  • Mohamed-Ali Hamza, Hatem Zaag. A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations. Nonlinearity, 2012, 25 (9), pp.2759-2773. (10.1088/0951-7715/25/9/2759⟩. ⟨hal-03418396⟩
  • Mohamed Ali Hamza, Hatem Zaag. Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations in the critical case. Journal of Hyperbolic Differential Equations, 2012, 09 (02), pp.195-221. (10.1142/S0219891612500063⟩. ⟨hal-03418394⟩
  • Frank Merle, Hatem Zaag. Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation. Duke Mathematical Journal, 2012, 161 (15), pp.2837-2908. (10.1215/00127094-1902040⟩. ⟨hal-02325353⟩
  • Thomas Duyckaerts, Luc Miller. Resolvent conditions for the control of parabolic equations. Journal of Functional Analysis, 2012, 263 (11), pp.3641-3673. (10.1016/j.jfa.2012.09.003⟩. ⟨hal-00620870v2⟩
  • Damien Besancenot, Jean-Michel Courtault, Khaled El Dika. Piecework versus merit pay: a Mean Fi eld Game approach to academic behavior. 2011. (halshs-00632171⟩
  • Jean Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Semiclassical width of resonances created by homoclinic orbits. International Conference the 26th MATSUYAMA Camp, 2011, Japan. http://web.cc.yamaguchi-u.ac.jp/~hirosawa/other/matsuyamacamp2011/lecturenotes.htm. (hal-00994414⟩
  • M. Ebde, Hatem Zaag. Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2011, 55 (1), pp.5-21. (10.1007/BF03322590⟩. ⟨hal-03418373⟩
  • Frank Merle, Hatem Zaag. Blow-up behavior outside the origin for a semilinear wave equation in the radial case. Bulletin des Sciences Mathématiques, 2011, 135 (4), pp.353-373. (10.1016/j.bulsci.2011.03.001⟩. ⟨hal-00570157⟩
  • Saima Khenissy, Yomna Rébaï, Hatem Zaag. Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28 (1), pp.1-26. (10.1016/j.anihpc.2010.09.006⟩. ⟨hal-00570173⟩
  • S. Khenissy, Y. Rébaï, Hatem Zaag. Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28 (1), pp.1-26. (10.1016/j.anihpc.2010.09.006⟩. ⟨hal-03418377⟩
  • Jean Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances. Annales de l'Institut Fourier, 2011, 61 (4), pp.1351-1406. (10.5802/aif.2643⟩. ⟨hal-00994373⟩
  • Jean-Marc Delort. Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres. 2011. (hal-00643474⟩
  • Hakim Boumaza. Localization for an Anderson-Bernoulli model with generic interaction potential. 2010. (hal-00490865⟩
  • Hakim Boumaza. Absence de spectre absolument continu pour un opérateur d'Anderson à potentiel d'interaction générique. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (3-4), p.175-179. (10.1016/j.crma.2010.01.03⟩. ⟨hal-00457569⟩
  • Mohammed Abderrahman Ebde, Hatem Zaag. Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. 2010. (hal-00570159⟩
  • Jean-Marc Delort. Growth of Sobolev norms for solutions of time dependent Schrödinger operators with harmonic oscillator potential. 2010. (hal-00467572v3⟩
  • Nejla Nouaili, Hatem Zaag. A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up. Transactions of the American Mathematical Society, 2010, 362 (7), pp.3391-3434. (hal-00531306⟩
  • Frank Merle, Hatem Zaag. Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension.. Séminaire Équations aux dérivées partielles (Polytechnique), 2010, France. Exp. No. 11, 10 p. (hal-00570162⟩
  • Jean-Marc Delort. Growth of Sobolev norms of solutions of linear Schrödinger equations on some compact manifolds. 2009. (hal-00389543v2⟩
  • Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Long time behavior of the Schrödinger group associated with a potential maximum. Spectral theories of non-Hermitian operators and their application, 2009, Japan. accepté, à paraître. (hal-00385669⟩
  • Isabelle Gallagher, Thierry Gallay, Francis Nier. Spectral Asymptotics for Large Skew-Symmetric Perturbations of the Harmonic Oscillator. International Mathematics Research Notices, 2009, 2009 (12), pp.2147-2199. (10.1093/imrn/rnp013⟩. ⟨hal-01227470⟩
  • Jean-Marc Delort. Periodic solutions of non-linear Schrödinger equations: A para-differential approach. 2009. (hal-00422523v3⟩
  • Frank Merle, Hatem Zaag. On characteristic points at blow-up for a semilinear wave equation in one space dimension. Singularities in Nonlinear Problems 2009, Nov 2009, Kyoto, Japan. (hal-00570164⟩
  • Jean-Marc Delort. A quasi-linear Birkhoff normal forms method. Application to the quasi-linear Klein-Gordon equation on S^1. 2009. (hal-00354876⟩
  • Khaled El Dika, Luc Molinet. Stability of multi antipeakon-peakons profile. Discrete and Continuous Dynamical Systems - Series B, 2009, 12 (3), pp.561-577. (hal-00424454⟩
  • Jean Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Propagation of microlocal solutions through a hyperbolic fixed point. Differential Equations and Exact WKB Analysis, 2008, Japan. pp.1-32. (hal-00384717⟩
  • Khaled El Dika, Luc Molinet. Stability of multipeakons. 2008. (hal-00260227⟩
  • Nader Masmoudi, Hatem Zaag. Blow-up profile for the complex Ginzburg–Landau equation. Journal of Functional Analysis, 2008, 255 (7), pp.1613-1666. (10.1016/j.jfa.2008.03.008⟩. ⟨hal-02325768⟩
  • Jean-Marc Delort. On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus. 2008. (hal-00177978v2⟩
  • Jean-Marc Delort. Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle. 2008. (hal-00157765v3⟩
  • Frank Merle, Hatem Zaag. Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation. Communications in Mathematical Physics, 2008, 282 (1), pp.55-86. (10.1007/s00220-008-0532-3⟩. ⟨hal-02325777⟩
  • Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond, Maher Zerzeri. Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point. Journal of Functional Analysis, 2007, 252 (1), pp.68-125. (hal-00280113⟩
  • Frank Merle, Hatem Zaag. Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension. Journal of Functional Analysis, 2007, 253 (1), pp.43-121. (10.1016/j.jfa.2007.03.007⟩. ⟨hal-03418430⟩
  • Dario Bambusi, Jean-Marc Delort, Benoît Grébert, Jeremie Szeftel. Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds. Communications on Pure and Applied Mathematics, 2007, 60 (11), pp.1665--1690. (hal-00011236⟩
  • Jean-Marc Delort, Jérémie Szeftel. Bounded almost global solutions for non hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces. Annales de l'Institut Fourier, 2006, 56, pp.1419-1456. (hal-00359328⟩
  • Jean-Marc Delort, Jérémie Szeftel. Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds. American Journal of Mathematics, 2006, 128, pp.1187-1218. (hal-00359308⟩
  • Hatem Zaag. Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation. Duke Mathematical Journal, 2006, 133 (3), pp.499-525. (10.1215/S0012-7094-06-13333-1⟩. ⟨hal-02325784⟩
  • Frank Merle, Hatem Zaag. On growth rate near the blowup surface for semilinear wave equations. International Mathematics Research Notices, 2005, 2005 (19), pp.1127. (10.1155/IMRN.2005.1127⟩. ⟨hal-02325857⟩
  • Frank Merle, Hatem Zaag. Determination of the blow-up rate for a critical semilinear wave equation. Mathematische Annalen, 2005, 331 (2), pp.395-416. (10.1007/s00208-004-0587-1⟩. ⟨hal-02326097⟩
  • L. Corrias, Benoît Perthame, Hatem Zaag. Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions. Milan Journal of Mathematics, 2004, 72 (1), pp.1-28. (10.1007/s00032-003-0026-x⟩. ⟨hal-02326115⟩
  • L Corrias, Benoît Perthame, Hatem Zaag. L p and L ∞ a priori estimates for some chemotaxis models and applications to the Cauchy problem. The mechanism of the spatio-temporal pattern arising in reaction diffusion system, Oct 2004, Kyoto, Japan. (hal-02325804⟩
  • Pablo Groisman, Julio D. Rossi, Hatem Zaag. On the Dependence of the Blow-Up Time with Respect to the Initial Data in a Semilinear Parabolic Problem. Communications in Partial Differential Equations, 2003, 28 (3-4), pp.737-744. (10.1081/PDE-120020494⟩. ⟨hal-02326150⟩
  • L Corrias, Benoît Perthame, Hatem Zaag. A chemotaxis model motivated by angiogenesis. Comptes Rendus. Mathématique, 2003, 336 (2), pp.141-146. (10.1016/S1631-073X(02)00008-0⟩. ⟨hal-02326144⟩
  • Hatem Zaag. One Dimensional Behavior of Singular N Dimensional Solutions of Semilinear Heat Equations. Communications in Mathematical Physics, 2002, 225 (3), pp.523-549. (10.1007/s002200100589⟩. ⟨hal-02326167⟩
  • Hatem Zaag. On the regularity of the blow-up set for semilinear heat equations. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002, 19 (5), pp.505-542. (10.1016/S0294-1449(01)00088-9⟩. ⟨hal-02326175⟩
  • Hatem Zaag. A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure. Communications on Pure and Applied Mathematics, 2001, 54 (1), pp.107-133. (10.1002/1097-0312(200101)54:13.0.CO;2-U⟩. ⟨hal-02326199⟩
  • Frank Merle, Hatem Zaag. Uniform blow-up estimates for nonlinear heat equations and applications. Methods and Applications of Analysis, 2001, 8 (4), pp.551-556. (10.4310/MAA.2001.v8.n4.a5⟩. ⟨hal-03418371⟩
  • Frank Merle, Hatem Zaag. Uniform blow-up estimates for nonlinear heat equations and applications. Methods and Applications of Analysis, 2001, 8, pp.551 - 556. (hal-02326191⟩
  • Hatem Zaag. Regularity of the blow-up set and singular behavior for semilinear heat equations. Proceedings of the Third International Palestinian Conference, Aug 2000, Bethlehem, Palestinian Territories. pp.337-347, (10.1142/9789812778390_0027⟩. ⟨hal-02326159⟩
  • Clotilde Fermanian Kammerer, Hatem Zaag. Boundedness up to blow-up of the difference between two solutions to a semilinear heat equation. Nonlinearity, 2000, 13 (4), pp.1189-1216. (10.1088/0951-7715/13/4/311⟩. ⟨hal-02326207⟩
  • Hatem Zaag. A remark on the energy blow-up behavior for nonlinear heat equations. Duke Mathematical Journal, 2000, 103 (3), pp.545-556. (10.1215/S0012-7094-00-10336-5⟩. ⟨hal-02326249⟩
  • Frank Merle, Hatem Zaag. A Liouville theorem for vector-valued nonlinear heat equations and applications. Mathematische Annalen, 2000, 316 (1), pp.103-137. (10.1007/s002080050006⟩. ⟨hal-02326237⟩
  • F. Merle, Hatem Zaag. Refined Uniform Estimates at Blow-Up and Applications for Nonlinear Heat Equations. Geometric And Functional Analysis, 1998, 8 (6), pp.1043-1085. (10.1007/s000390050123⟩. ⟨hal-02326345⟩
  • Frank Merle, Hatem Zaag. Optimal estimates for blowup rate and behavior for nonlinear heat equations. Communications on Pure and Applied Mathematics, 1998, 51 (2), pp.139-196. (10.1002/(SICI)1097-0312(199802)51:23.0.CO;2-C⟩. ⟨hal-02326363⟩
  • Hatem Zaag. Blow-up results for vector-valued nonlinear heat equations with no gradient structure. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1998, 15 (5), pp.581-622. (10.1016/S0294-1449(98)80002-4⟩. ⟨hal-02326373⟩
  • Frank Merle, Hatem Zaag. Stability of the blow-up profile for equations of the type $u_t=\Delta u+|u|^{p-1}u$. Duke Mathematical Journal, 1997, 86 (1), pp.143-195. (10.1215/S0012-7094-97-08605-1⟩. ⟨hal-02326383⟩
  • Frank Merle, Hatem Zaag. Reconnection of vortex with the boundary and finite time quenching. Nonlinearity, 1997, 10 (6), pp.1497-1550. (10.1088/0951-7715/10/6/006⟩. ⟨hal-02326367⟩
  • Frank Merle, Hatem Zaag. Estimations uniformes à l'explosion pour les équations de la chaleur non linéaires et applications. Séminaire sur les Équations aux Dérivées Partielles,, 1997. (hal-02326284⟩
  • Frank Merle, Hatem Zaag. Stabilité du profil à l'explosion pour les équations du type $u\sb t=\Delta u+\vert u\vert \sp {p-1}u$.. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996. (hal-02326423⟩