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Global existence for energy critical wave equations in 3-d domains

  • Nicolas Burq (Universite Paris-Sud 11)
A3 01 (Sophus-Lie room)

Abstract

We study the reklationship between Sogge's $L^p$ spectral estimates for the Laplace operator and Strichartz type estimates for the wave operator. As a consequence of this analysis, we obtain that in 3-d domains, the quintic (critical) defocussing wave equation with Dirichlet boundary conditions is globally well posed in the energy space. This extend previous results of Grillakis and Shatah-Struwe on $R^d$.

(joint with G. Lebeau and F. Planchon)

seminar
24.10.24 30.01.25

Oberseminar Analysis

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E2 10 (Leon-Lichtenstein) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Augusteum - A314

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