Characterization of the eigenfunctions in the singularly perturbed domain

DOI10.3792/pjaa.63.285zbMath0659.35076OpenAlexW2027799814MaRDI QIDQ1112257

Shuichi Jimbo

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195513562

zbMATH Keywords

eigenvalue problemNeumann boundary conditionLaplacianbounded domaindumbell shaped domainorthonormalized eigenfunctionspartial degeneration

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Characteristic frequencies of bodies with thin spikes. I: Convergence and estimates ⋮ Junctions of singularly degenerating domains with different limit dimensions ⋮ Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains ⋮ Asymptotic expansion of eigenvalues of the Neumann problem in a domain with a thin bridge ⋮ Characterization of the eigenfunctions in the singularly perturbed domain. II

Cites Work

• Upper semicontinuity of eigenvalues of selfadjoint operators defined on moving domains
• Singular perturbation of domains and the semilinear elliptic equation. II
• Scattering frequencies of resonators
• Unnamed Item

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