Prépublications
Livres
Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I: Dirichlet Boundary Conditions on Euclidean Space, 410 pages, PNLDE Subseries in Control, Birkhäuser, 2022, avec Gilles Lebeau et Luc Robbiano.
ISBN: 978-3-030-88669-1
Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II: General Boundary Conditions on Riemannian Manifold, 542 pages, PNLDE Subseries in Control, Birkhäuser, 2022, avec Gilles Lebeau et Luc Robbiano.
ISBN: 978-3-030-88673-8
Articles dans des journaux à comités de lecture
39. Semi-classical observation suffices for observability: wave and Schrödinger equations , ESAIM: COCV 30 (2024), 10, 31 pages, avec Nicolas Burq et Belhassen Dehman.
38. Measure propagation along C^0-vector field and wave controllability on a rough compact manifold, Anal. PDE, 17 (2024), 2683–2717, avec Nicolas Burq et Belhassen Dehman.
37. Stabilization of the damped plate equation under general boundary conditions, J. Éc. Polytech., Math., Tome 10 (2023), p. 1-65. avec Emmanuel Zongo.
36. Spectral inequality and resolvent estimate for the bi-Laplace operator, J. Eur. Math. Soc., 2020, 22 (4), pp.1003-1094, avec Luc Robbiano.
35. Carleman estimates for elliptic operators with complex coefficients. Part II: transmission problems, J. Math. Pures Appl., 2018, 115, pp.127-186, avec Mourad Bellassoued.
34. Geometric control condition for the wave equation with a time-dependent observation domain, Analysis & PDE 10 (2017), pp. 983-1015, avec Gilles Lebeau, Peppino Terpolilli et Emmanuel Trélat.
33. Null-controllability of the Kolmogorov equation in the whole phase space, J. Differential Equations, 260 (2016), pp. 3193-3233, avec Iván Moyano.
32. Carleman estimates for elliptic operators with complex coefficients. Part I: boundary value problems, J. Math. Pures Appl. 104 (2015), pp. 657-728, avec Mourad Bellassoued.
31. On Carleman estimates with two large parameters, Indiana Univ. Math. J. 64 (2015), pp. 55-113.
30. Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations, Ann. Inst. Poincaré: analyse non linéaire, Volume 31 (2014), pp. 1035-1078, avec Franck Boyer.
29. Controllability of two coupled wave equations on a compact manifold, Arch. Rational Mech. Anal., Volume 211 (2014), pp. 113-187, avec Belhassen Dehman et Matthieu Léautaud.
28. Carleman estimates for anisotropic elliptic operators with jumps at an interface, Anal. PDE, Vol. 6 (2013), pp. 1601-1648, avec Nicolas Lerner.
27. Controllability of a parabolic system with a diffusive interface, J. Eur. Math. Soc., Vol. 15 (2013), pp. 1485-1574, avec Matthieu Léautaud et Luc Robbiano.
26. On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations , ESAIM Control Optim. Calc. Var., 18 (2012), pp. 712-747, avec Gilles Lebeau.
25. Carleman estimates for stratified media, J. Funct. Anal., 260 (2011), pp. 3645-3677, avec Assia Benabdallah et Yves Dermenjian.
24. Uniform null-controllability properties for space/time-discretized parabolic equations, Numer. Math., Vol. 118 (2011), no 4, pp. 601-661, avec Franck Boyer et Florence Hubert.
23. Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications, SIAM J. Control Optim., Vol. 48, pages 5357-5397, 2010, avec Franck Boyer et Florence Hubert.
22. Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces, Inventiones Math. Vol.183 (2011), pp. 245-336, avec Luc Robbiano.
21. Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations, J. Math. Pures Appl., vol 93, pages 240-276, 2010, avec Franck Boyer et Florence Hubert.
20. Pseudodifferential multi-product representation of the solution operator of a parabolic equation, Comm. Partial Differential Equations, Vol. 34, 7, pages 625-655, 2009, avec H. Isozaki.
19. Carleman estimate for elliptic operators with coefficents with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations, Arch. Rational Mech. Anal., Vol. 195, 953-990, 2010, avec L. Robbiano.
18. Fourier-Integral-Operator product representation of solutions to first-order symmetrizable hyperbolic systems: J. Analyse Math. 109 (2009), 81-162.
17. Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation: SIAM J. Control Optim., vol. 46 (5), p. 1849-1881, 2007, avec A. Benabdallah et P. Gaitan.
16. Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability. J. Math. Anal. Appl., 2007 (336), 2, p. 865-887, avec A. Benabdallah et Y. Dermenjian.
15. On the controllability of linear parabolic equations with an arbitrary control location for stratified media, C. R. Acad. Sci. Paris, Ser I., 2007 (344), pp. 357-362, avec A. Benabdallah et Y. Dermenjian.
14. On the convergence of some products of Fourier integral operators and applications, Asymptotic Anal., 2007 (51), pp. 189-207.
13. Carleman estimates and controllability results for the one-dimensional heat equations with BV coefficients, J. Differential Equations, 2007 (233), pp. 417-447.
12. Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations II: microlocal analysis: J. Math. Pures Appl., 2006 (86), pp. 403-426, avec Guenther Hoermann.
11. Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations I: convergence in Sobolev Spaces: Comm. Partial Differential Equations, 2006 (31), pp. 867-906.
10. The applicability of DMO/AMO in the presence of caustics, Geophysics, 2005 (70), 1, S1--S17, avec A.E. Malcolm et M.V. de Hoop.
9. Resonant Ultrasound Spectroscopy: theory and application, Geoph. J. Int., 2004 (156), pp. 154-169, avec B. Zadler, J. Scales et M. Smith.
8. Symplectic structure of wave-equation imaging: A path-integral approach based on the double-square-root equation, Geoph. J. Int., 2003 (153), pp. 52-74, avec M.V. de Hoop et B. Biondi.
7. 3D depth imaging with generalized screens: A salt body case study, Geophysics, 2003 (68) pp. 1132-1139, avec H. Calandra et M.V. de Hoop.
6. Generalized-screen approximation and algorithm for the scattering of elastic waves, Q. J. Mech. Appl. Math., 2003 (56), pp. 1-33, avec M.V. de Hoop.
5. Seismic wavefield `continuation' in the single scattering approximation: A framework for Dip and Azimuth MoveOut, Can. Appl. Math. Q., 2002, pp.199-237, avec A.E. Malcolm et M. V. de Hoop.
4.Modeling and imaging with the scalar generalized-screen algorithms in isotropic media, Geophysics, 2001 (66), pp. 1551-1568, avec M.V. de Hoop.
3. Scalar generalized screen algorithms in transversely isotropic media with a vertical symmetry axis, Geophysics, 2001 (66), pp. 1538-1550, avec M.V. de Hoop.
2. Generalization of the phase-screen approximation for the scattering of acoustic waves, Wave Motion, 2000 (31), pp. 43-70, avec M.V. de Hoop et R-.S. Wu.
1. Inoceramid extinction in the Gubbio basin (northeastern Apennines of Italy) and relations with mid-Maastrichian environmental changes, Palaeogeog. Palaeoclim. Palaeoecol., 1998 (139), pp. 177-193, avec H. Chauris, B. Beaudoin, S. Propson et A. Montanari.
Comptes Rendus à l'Académie des Sciences (annonces de résultat)
2. Carleman estimates and controllability results for the one-dimensional heat equations with BV coefficients, C. R. Acad. Sci. Paris, Ser I., 2007 (344), pp. 175-180.
1. Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications, C.R. Mécanique, 2006 (334), pp. 582-586, avec A. Benabdallah et Y. Dermenjian.
Habilitation à Diriger des Recherches
Représentation Microlocale de Solutions de Systèmes Hyperboliques, Application à l'Imagerie, et Contributions au Contrôle et aux Problèmes Inverses pour des Equations Paraboliques, Novembre 2007, Université d'Aix-Marseille 1, Laboratoire d'Analyse Topologie Probabilités.
Contact
Jérôme Le Rousseau
Laga - Institut Galilée
99, avenue Jean-Baptiste Clément
93430 Villetaneuse
FranceE-mail: ![]()