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On the absence of eigenvalues of Maxwell and Lamé systems in exterior domains

✍ Scribed by Sebastian Bauer

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
132 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The arguments showing non‐existence of eigensolutions to exterior‐boundary value problems associated with systems—such as the Maxwell and Lamé system—rely on showing that such solutions would have to have compact support and therefore—by a unique continuation property—cannot be non‐trivial. Here we will focus on the first part of the argument. For a class of second order elliptic systems it will be shown that L^2^‐solutions in exterior domains must have compact support. Both the asymptotically isotropic Maxwell system and the Lamé system with asymptotically decaying perturbations can be reduced to this class of elliptic systems. Copyright © 2004 John Wiley & Sons, Ltd.

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