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Morrey-Campanato estimates for Helmholtz equations with two unbounded media

Elise Fouassier
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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 $L^2$-estimates for the solution. We prove also a uniform $L^2$-estimate {\em without weight} for the trace of the solution on the interface

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Elise Fouassier. 2005-02-14. Morrey-Campanato estimates for Helmholtz equations with two unbounded media. https://arxiv.org/abs/math/0502290

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