Asymptotic expansions for the eigenvalues and the eigenfunctions of boundary value problems with rapidly oscillating coefficients in a layer

DOI10.1007/BF02754415zbMath1001.35093MaRDI QIDQ5942181

A. Yu. Teplinskij

Publication date: 19 December 2002

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

zbMATH Keywords

homogenizationDirichlet conditionsformal asymptotic solutionspectral problemmultiple spectrum

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• ASYMPTOTICS OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR AN EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A RECTANGLE
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