On the limits of applicability of regular perturbation theory for a membrane with a narrow crack.

zbMATH Open1048.35041MaRDI QIDQ1432643

A. M. Il'in, R. R. Gadyl'shin

Publication date: 15 June 2004

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

zbMATH Keywords

eigenvalueNeumann problemlimit problemperturbed problemmatching of asymptotic expansionsmembrane with free edgesnarrow aperture

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Membranes (74K15) Perturbations in context of PDEs (35B20)

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