Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube

DOI10.1090/mosc/243zbMath1336.35267OpenAlexW2229508582MaRDI QIDQ2788919

Sergueï A. Nazarov

Publication date: 23 February 2016

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mosc/243

zbMATH Keywords

Dirichlet and Neumann problemsconvergence theoremlumped masseigenvalue and eigenfunction asymptoticssingular perturbations of a domainthin toroidal cavity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) A priori estimates in context of PDEs (35B45)

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On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary

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