Eigenvalue problems on domains with cracks. I

DOI10.3836/tjm/1244208195zbMath1134.35319OpenAlexW2082582703MaRDI QIDQ819503

Kazushi Yoshitomi

Publication date: 29 March 2006

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208195

zbMATH Keywords

eigenvalue problemLaplace operatorasymptotic expansionsplanar region with growing crack

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Eigenvalues variation. II: Multidimensional problems
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• Elliptic Partial Differential Equations of Second Order
• A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE
• Asymptotic behaviour of the eigenvalues of the Dirichlet problem in a domain with a narrow slit

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