A localized domain perturbation which splits the spectrum of the Laplacian

DOI10.1080/17476933.2020.1767084zbMath1475.35216OpenAlexW3029669667MaRDI QIDQ5156159

Alexander Dabrowski

Publication date: 14 October 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1767084

zbMATH Keywords

Laplacian eigenvaluesimple eigenvalueeigenvalue multiplicityeigenvalue perturbationHadamard's formulavariational eigenvalue problem

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) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (1)

A few results on permittivity variations in electromagnetic cavities

Cites Work

• Hadamard's formula inside and out
• Second domain variation for problems with Robin boundary conditions
• Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo. II
• Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Generic Properties of Eigenfunctions
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