The domain dependence of dominant Fredholm eigenvalues for the Helmholtz operator

DOI10.1016/0022-247X(83)90154-3zbMath0512.35065OpenAlexW2048731852MaRDI QIDQ1839369

Jörg Donig

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90154-3

zbMATH Keywords

Helmholtz operatordomain dependenceFredholm eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• On the convergence of successive approximations for an integral equation in a Green's function approach to the Dirichlet problem
• A Localization of Fredholm Eigenvalues for the Helmholtz Operator in Bounded Domains
• Symmetrizable linear transformations

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