Morrey-Campanato estimates for Helmholtz equations with two unbounded media

Details Morrey-Campanato estimates for Helmholtz equations with two unbounded media Morrey-Campanato estimates for Helmholtz equations with two unbounded media

2005-02-14

arxiv.org/abs/math/0502290v1

Mathematics

Analysis of PDEs

To appear in Proceedings of the Royal Society of Edinburgh A

Scientific paper

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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