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On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension

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Publication:1385906
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zbMath0894.31003MaRDI QIDQ1385906

Tatiana A. Shaposhnikova, Olga A. Oleinik

Publication date: 23 June 1998

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


zbMATH Keywords

homogenizationDirichlet conditionsbiharmonic equationperforated domain


Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)


Related Items (2)

Homogenization in perforated domains beyond the periodic setting. ⋮ \(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size.




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