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Comportement asymptotique des valeurs propres du Laplacien dans un domaine avec un trou. (Asymptotic behaviour of the eigenvalues of the Laplacian in a domain with a hole). (French) Zbl 0577.58033

Summary: We describe the behaviour of the eigenvalues of the Laplace-Beltrami operator on a compact manifold from which a tubular neighbourhood (of radius going to zero) of a closed submanifold is excised, in low codimension (2, 3 or 4).

MSC:

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
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References:

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