Spectral problems on arbitrary open subsets of \(\mathbb R^n\) involving the distance to the boundary

DOI10.1016/j.cam.2005.06.013zbMath1110.46022OpenAlexW2156069625MaRDI QIDQ2493963

W. Desmond Evans, David E. Edmunds

Publication date: 16 June 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.06.013

zbMATH Keywords

weighted Sobolev spacesapproximation numbersDirichlet Laplacianspectral counting functionNeumann Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (1)

Widths of weighted Sobolev classes on a John domain

Cites Work

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• On the spectral counting function for the Dirichlet Laplacian
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• On Hardy-Type Inequalities

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