Geodesic
Asymptotic Expansion of Eigenvalues of the Laplace Operator in Domains with Singularly Perturbed Boundary
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 299-307 
M. I. Cherdantsev. Asymptotic Expansion of Eigenvalues of the Laplace Operator in Domains with Singularly Perturbed Boundary. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 299-307. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a15/
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     author = {M. I. Cherdantsev},
     title = {Asymptotic {Expansion} of {Eigenvalues} of the {Laplace} {Operator} in {Domains} with {Singularly} {Perturbed} {Boundary}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider eigenvalue problems for the Laplace operator in three-dimensional domains with singularly perturbed boundary. Perturbations are generated by a complementary Dirichlet boundary condition on a small nonclosed surface inside the domain. The convergence and the asymptotic behavior of simple eigenvalues of the problem are considered.

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