Homogenization of spectral problems with singular perturbation of the Steklov condition

DOI10.1070/IM8286zbMath1377.35017MaRDI QIDQ2981801

Aleksandra G. Chechkina

Publication date: 10 May 2017

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

mixed boundary conditionstwo space dimensionsSteklov problemDirichlet- and Steklov-type conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity ⋮ Weakly singular Steklov condition in the multidimensional case ⋮ Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc ⋮ Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Estimate of the spectrum deviation of the singularly perturbed Steklov problem ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity

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