Morrey-Campanato estimates for Helmholtz equations with two unbounded media

Elise Fouassier

Morrey-Campanato estimates for Helmholtz equations with two unbounded media

Analysis of PDEs 2007-05-23 v1

Authors: Elise Fouassier

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

Cite

@article{arxiv.math/0502290,
  title  = {Morrey-Campanato estimates for Helmholtz equations with two unbounded media},
  author = {Elise Fouassier},
  journal= {arXiv preprint arXiv:math/0502290},
  year   = {2007}
}

Comments

To appear in Proceedings of the Royal Society of Edinburgh A

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