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arXiv · 1706.03555

A localized boundary deformation which splits the spectrum of the Laplacian

Alexander Dabrowski
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Abstract

For any Lipschitz domain we construct an arbitrarily small, localized perturbation which splits the spectrum of the Laplacian into simple eigenvalues. We use for this purpose a Hadamard's formula and spectral stability results.

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Alexander Dabrowski. 2017-06-12. A localized boundary deformation which splits the spectrum of the Laplacian. https://arxiv.org/abs/1706.03555

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