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A localized boundary deformation which splits the spectrum of the Laplacian

Published 12 Jun 2017 in math.AP and math.SP | (1706.03555v1)

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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