Spectral problem with Steklov condition on a thin perforated interface

DOI10.1134/S1064562416010191zbMath1341.35093MaRDI QIDQ294332

Andrey L. Piatnitski, Rustem R. Gadyl'shin, Gregory A. Chechkin

Publication date: 16 June 2016

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

zbMATH Keywords

homogenizationSteklov spectral problem

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity

Cites Work

• Asymptotics of a spectral-sieve problem
• Homogenization of elliptic eigenvalue problems. II
• Homogenization of eigenvalue problems in perforated domains
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Steklov problems in perforated domains with a coefficient of indefinite sign
• Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots
• An extension theorem from connected sets, and homogenization in general periodic domains
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral problem with Steklov condition on a thin perforated interface