The spectrum of the Laplacian and boundary perturbation. I

DOI10.3792/pjaa.54.87zbMath0416.35054OpenAlexW2029566341MaRDI QIDQ754390

Masao Tanikawa, Daisuke Fujiwara, Shûichi Yukita

Publication date: 1978

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.54.87

zbMATH Keywords

eigenvalue problemspectrumLaplacianboundary perturbationmetric topology on a collection of boundariesresidual subset

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20)

Related Items (10)

The submanifolds of compact operators with fixed Jordan cells ⋮ Hadamard's formula inside and out ⋮ The eigenvalues of the Laplacian and perturbation of boundary condition ⋮ Formule variationelle d'Hadamard et modèle des variétés différentiables plongees ⋮ The spectrum of the Laplacian of a \(Z_ 3-\)invariant domain ⋮ On manifolds of eigenfunctions and potentials generated by a family of periodic boundary-value problems ⋮ Submanifolds of compact operators with fixed multiplicities of eigenvalues ⋮ Manifold method in the eigenvector theory of nonlinear operators. Transl. from the Russian ⋮ The Hadamard variational formula for the Green functions of some normal elliptic boundary value problems ⋮ On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks

Cites Work

• Unnamed Item
• Modes and quasimodes
• Generic Properties of Eigenfunctions

This page was built for publication: The spectrum of the Laplacian and boundary perturbation. I