Mardi 15 Novembre


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Mardi 15 Novembre
Heure: 13:30 - 14:30
Lieu: Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: PM - EDP - Schrödinger Equations with Non Self-Adjoint Quadratic Hamiltonians and Eigenfunction Bounds -
Description: Francis WhiteIn this talk, I will present results concerning the propagation of
global analytic singularities and L^p-bounds for solutions of
Schrödinger evolution equations on R^n whose Hamiltonians are non
self-adjoint quadratic differential operators. Time-permitting, I will
also sketch an application of these ideas to the study of L^p-bounds for
low-lying eigenfunctions of semiclassical pseudodifferential operators
with double-characteristics. The primary tools used in the proofs are
the Fourier-Bros-Iagolnitzer (FBI) transform and microlocal analysis in
exponentially weighted spaces of entire functions.