Characterization of the eigenfunctions in the singularly perturbed domain. II

DOI10.3792/PJAA.64.14zbMath0679.35010OpenAlexW4242589462MaRDI QIDQ1822684

Shuichi Jimbo

Publication date: 1988

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

Full work available at URL: https://doi.org/10.3792/pjaa.64.14

zbMATH Keywords

asymptotic propertiessingular perturbationsspectral theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains ⋮ The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition

Cites Work

• Upper semicontinuity of eigenvalues of selfadjoint operators defined on moving domains
• Characterization of the eigenfunctions in the singularly perturbed domain
• Singular perturbation of domains and the semilinear elliptic equation. II
• Scattering frequencies of resonators

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