Morrey-Campanato estimates for Helmholtz equations with two unbounded media

2005/02/14 by Elise Fouassier, Fouassier, Elise
Mathematics · #35B45 #35J05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B45 #msc:35J05

paper · pdf · doi:10.48550/arxiv.math/0502290

To appear in Proceedings of the Royal Society of Edinburgh A

arxiv created 2005/02/14 · arxiv updated 2009/12/01

Abstract

We prove uniform Morrey-Campanato estimates for Helmholtz equations in the case of two unbounded inhomogeneous media separated by an interface. They imply weighted L²-estimates for the solution. We prove also a uniform L²-estimate \em without weight for the trace of the solution on the interface

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