Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains

DOI10.1090/S1061-0022-2015-01339-3zbMath1456.35149OpenAlexW1968155519MaRDI QIDQ5254694

Sergueï A. Nazarov

Publication date: 10 June 2015

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2015-01339-3

zbMATH Keywords

surface wavesspectral Steklov problemsmall cavityfull asymptotic expansions of eigenvalues and eigenfunctions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (7)

Mixed boundary value problems in singularly perturbed two-dimensional domains with the Steklov spectral condition ⋮ From Steklov to Neumann via homogenisation ⋮ Optimization of Steklov-Neumann eigenvalues ⋮ \(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation ⋮ Asymptotic behaviour of the Steklov spectrum on dumbbell domains ⋮ Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach ⋮ Convergence of eigenfunctions of a Steklov-type problem in a half-strip with a small hole

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