Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients

DOI10.1090/S1061-0022-09-01043-7zbMath1206.35029arXivmath-ph/0612013OpenAlexW2057161016MaRDI QIDQ3079245

Denis I. Borisov

Publication date: 2 March 2011

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

Full work available at URL: https://arxiv.org/abs/math-ph/0612013

zbMATH Keywords

unbounded domainfast and slow variableshomogenization of differentiable operators

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) General theory of partial differential operators (47F05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

• Some singular perturbations of periodic operators
• The spectrum of the Schrödinger operator with a rapidly oscillating compactly supported potential
• On operator estimates in homogenization theory
• On homogenization for a periodic elliptic operator in a strip
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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