Asymptotics of eigenvalues of the two-dimensional Dirichlet boundary-value problem for the Lamé operator in a domain with a small hole

DOI10.1134/S000143461303022XzbMath1307.35107MaRDI QIDQ351653

D. B. Davletov

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

asymptotics of eigenvaluesholomorphic functionDirichlet boundary-value problemBessel functionFredholm alternativeLamé operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

On eigenelements of a two-dimensional Steklov-type boundary value problem for the Lamé operator ⋮ The problem of Steklov type in a half-cylinder with a small cavity ⋮ Convergence of eigenfunctions of a Steklov-type problem in a half-strip with a small hole

Cites Work

• Singularly perturbed Dirichlet boundary-value problem for a stationary system in the linear elasticity theory
• Asymptotics of eigenvalues of the Dirichlet boundary value problem for the Lame operator in a three-dimensional domain with a small cavity
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
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