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Limit of the spectra of the interior Neumann problems when a solid domain shrinks to a plane one

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Publication:1070423
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DOI10.1016/0022-247X(85)90012-5zbMath0584.35015OpenAlexW1965066353MaRDI QIDQ1070423

Alexander G. Ramm

Publication date: 1985

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(85)90012-5


zbMATH Keywords

eigenvalue problemspectrumLaplace equationNeumann problem


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (2)

Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture ⋮ A reaction-diffusion equation on a thin L-shaped domain




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