Dispersion for the wave and the Schrodinger equations outside strictly convex obstacles

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• Gilles Lebeau, University Nice Sophia-Antipolis
• Monday 19 February 2018, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Josephine Evans.

We consider the linear wave equation and the linear Schrodinger equation outside a compact, strictly convex obstacle in R^d 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.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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