5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions

DOI10.1515/9783110288537.89zbMath1466.35117OpenAlexW4213204218MaRDI QIDQ4988715

Taras A. Mel'nyk, A. V. Popov

Publication date: 18 May 2021

Published in: Mathematics and Life Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110288537.89

zbMATH Keywords

asymptotic expansionspectral problemthin perforated domain

Mathematics Subject Classification ID

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

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Asymptotic expansions of eigenfunctions and eigenvalues of the Steklov spectral problem in thin perforated domains with rapidly varying thickness and different limit dimensions

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