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Gilles Lebeau, University Nice Sophia-Antipolis
Monday 19 February 2018, 15:00-16:00
Dispersion for the wave and the Schrodinger equations outside strictly convex obstacles
- 👤 Speaker: Gilles Lebeau, University Nice Sophia-Antipolis
- 📅 Date & Time: Monday 19 February 2018, 15:00 - 16:00
- 📍 Venue: CMS, MR13
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Josephine Evans
Abstract
We consider the linear wave equation and the linear Schrodinger equation outside a compact, strictly convex obstacle in Rd with smooth boundary. In dimension d=3 we show that the linear wave flow and the linear Schrodinger flow satisfy the dispersive estimates as in R3. For d \geq 4, if the obstacle is a ball, we show that there exists points where the dispersive estimates fail for both wave and Schrodinger equations.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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