Averaging of solutions and eigenvalues for boundary-value problems for elliptic equations in perforated domains

DOI10.1070/RM1982v037n02ABEH003947zbMath0548.35028MaRDI QIDQ3341237

Alexei S. Shamaev

Publication date: 1982

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceDirichlet problemeigenvalue problemSobolev norm

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Averaging method for ordinary differential equations (34C29) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Convergence of minima for nonequicoercive functionals and related problems ⋮ Asymptotic behaviour of quasi-linear problems with neumann boundary conditions on perforated domains

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