Localization near the corner point of the principal eigenfunction of the Dirichlet problem in a domain with thin edging

DOI10.1134/S003744661102011XzbMath1221.35257OpenAlexW1981291008MaRDI QIDQ546218

Sergueï A. Nazarov

Publication date: 24 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661102011x

zbMATH Keywords

Dirichlet problemspectral theorycorner pointessential and discrete spectralocalization effects for eigenfunctionsthin heary edging

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Eigenvalue problems for integral equations (45C05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Homogenization of boundary value problems in two-level thick junctions consisting of thin disks with rounded or sharp edges ⋮ On vanishing near corners of transmission eigenfunctions ⋮ Spectrum of a diffusion operator with coefficient changing sign over a small inclusion ⋮ Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains

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