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Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Len Meas (University Nice Sophia Antipolis)

Dispersive Estimates For The Wave Equation Inside Cylindrical Convex Domains: A Model Case

In this work we will establish local in time dispersive estimates for solutions of the model case Dirichlet wave equation inside cylindrical convex domain $\Omega\subset\mathbb{R}^3$ with a smooth boundary $\partial\Omega\neq \emptyset$. Our result is concerned with the case where the curvature radius $\geq 0$ depends on the incident angle and vanishes in some directions and the case of boundary with an infinite order contact points.