Asymptotic expansion of eigenvalues of the Neumann problem in a domain with a thin bridge

DOI10.1007/BF00971127zbMath0808.35083OpenAlexW1970246041MaRDI QIDQ1204745

O. R. Polyakova, Sergueï A. Nazarov

Publication date: 28 March 1993

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

Full work available at URL: https://doi.org/10.1007/bf00971127

zbMATH Keywords

Laplace equationlimit problems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Singular perturbation Dirichlet problem in a double-periodic perforated plane ⋮ Gaps in the spectrum of the Neumann problem on a perforated plane ⋮ Spectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holes

Cites Work

• Spectra of manifolds less a small domain
• Characterization of the eigenfunctions in the singularly perturbed domain
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• [Russian Text Ignored.]
• Properties of solutions of ordinary differential equations in banach space
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