Homogenization of an elliptic system under condensing perforation of the domain

DOI10.1090/S1061-0022-06-00937-XzbMath1178.35051OpenAlexW1592323040MaRDI QIDQ3622376

A. S. Slutskii, Sergueï A. Nazarov

Publication date: 28 April 2009

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00937-x

zbMATH Keywords

homogenizationcorrectorKorn's inequalityFractal type perforated domain

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Floquet theory for partial differential equations

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