On the eigenvalue of the Laplacian in a domain perforated along the boundary

DOI10.1134/S1064562410030014zbMath1205.35171MaRDI QIDQ610553

Yu. O. Koroleva, Rustem R. Gadyl'shin, Gregory A. Chechkin

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

homogenizationsingularly perturbed eigenvalue problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Homogenization of the boundary value problem in a domain perforated along a part of the boundary ⋮ On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality

Cites Work

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• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity

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