Workshop Recent developments in microlocal analysis

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Oct 16, 2019
Wednesday

11:00 AM - 12:00 PM

Dispersive estimates for the semi-classical Schrödinger equation inside a strictly convex domain
Oana Ivanovici (Sorbonne University)

October 19, 2015 - October 30, 2015

Workshop New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems

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Oct 28, 2015
Wednesday

09:30 AM - 10:30 AM		Dispersion for the wave and the Schrödinger equations outside strictly convex domains Oana Ivanovici (Sorbonne University)
Location MSRI: Simons Auditorium Video -- Abstract We consider a (general) strictly convex domain in R^d of dimension d>1 and we describe dispersion for both wave and Schrödinger equations with Dirichlet boundary condition. If d=2 or d=3 we show that dispersion does hold like in the flat case, while for d>3, we show that there exist strictly convex obstacles for which a loss occur with respect to the boundary less case (such an optimal loss is obtained by explicit computations). Supplements -- Show Detail