Estimates for the Dirichlet-wave equation and applications to nonlinear wave equations

2003/11/10 by Christopher D. Sogge, Sogge, Christopher D.
Mathematics · #35L70 #42B99 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L70 #msc:42B99

paper · pdf · doi:10.48550/arxiv.math/0311150

A survey paper based on lectures given at Kyoto in the summer of 2002

arxiv created 2003/11/10 · arxiv updated 2009/12/01

Abstract

In this article we shall go over recent work in proving dispersive and Strichartz estimates for the Dirichlet-wave equation. We shall discuss applications to existence questions outside of obstacles and discuss open problems.

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