Upper semicontinuity of eigenvalues of selfadjoint operators defined on moving domains

DOI10.3792/PJAA.61.243zbMath0584.35076OpenAlexW1974316044MaRDI QIDQ1070448

Satoshi Kaizu

Publication date: 1985

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.61.243

zbMATH Keywords

eigenvaluesinjectionrangeupper semicontinuouspositive self-adjoint operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20)

Related Items (3)

Characterization of the eigenfunctions in the singularly perturbed domain ⋮ The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition ⋮ Characterization of the eigenfunctions in the singularly perturbed domain. II

Cites Work

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• The Robin problems on domains with many tiny holes
• Potential and scattering theory on wildly perturbed domains
• Sulla convergenza delle soluzioni di disequazioni variazionali

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