On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary

DOI10.1134/S0012266111060073zbMath1228.35162MaRDI QIDQ647703

Rustem R. Gadyl'shin, Yu. O. Koroleva, Gregory A. Chechkin

Publication date: 24 November 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionperiodically perforated domain

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

On Friedrichs-type inequalities in domains rarely perforated along the boundary ⋮ Asymptotics of a spectral-sieve problem ⋮ Homogenization of the boundary value problem in a domain perforated along a part of the boundary ⋮ Vibrations of a fluid containing a wide spaced net with floats under its free surface ⋮ On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality

Cites Work

• Homogenization in domains randomly perforated along the boundary
• The thick Neumann's sieve
• 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
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