Perturbation of the Steklov problem on a small part of the boundary

DOI10.1007/s10958-014-1667-8zbMath1304.35456OpenAlexW2019576663MaRDI QIDQ467595

Gregory A. Chechkin, N. N. Abdullazade

Publication date: 3 November 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1667-8

zbMATH Keywords

eigenvalueseigenfunctionslimit problemperturbed Steklov problem

Mathematics Subject Classification ID

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

Related Items (3)

Optimization of Steklov-Neumann eigenvalues ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary

Cites Work

• Unnamed Item
• On singular perturbations of a Steklov-type problem with asymptotically degenerate spectrum
• On the spectrum of the Steklov problem in a domain with a peak
• Asymptotics of the solution of the Steklov spectral problem in a domain with a blunted peak
• Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary
• On the convergence of solutions of singularly perturbed boundary value problems for the Laplacian.
• Singular Hadamard's variation of domains and eigenvalues of the Laplacian. II
• Characteristic frequencies of bodies with thin spikes. I: Convergence and estimates
• Steklov problems in perforated domains with a coefficient of indefinite sign
• On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem
• Asymptotic expansion of eigenvalues of the Laplace operator in domains with singularly perturbed boundary
• Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• Asymptotic Variational Formulae for Eigenvalues

This page was built for publication: Perturbation of the Steklov problem on a small part of the boundary