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Morrey–Campanato estimates for Helmholtz equations with two unbounded media

Published online by Cambridge University Press:  12 July 2007

Elise Fouassier
Elise Fouassier
Affiliation:
Université de Rennes 1, IRMAR, Campus de Beaulieu, 35042 Rennes cedex, France([email protected])
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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 L2-estimates for the solution. We also prove a uniform L2-estimate without weight for the trace of the solution on the interface.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 4 , August 2005 , pp. 767 - 776
Copyright
Copyright © Royal Society of Edinburgh 2005

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