The Dirichlet problem for elliptic equations with multiscale coefficients. Operator estimates for homogenization

DOI10.1007/s10958-013-1453-zzbMath1281.35057OpenAlexW1977070440MaRDI QIDQ376517

S. E. Pastukhova

Publication date: 5 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1453-z

zbMATH Keywords

homogenizationelliptic equationsoscillating coefficients

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Elliptic equations and elliptic systems (35J99)

Related Items (6)

Error estimates of homogenization in the Neumann boundary problem for an elliptic equation with multiscale coefficients ⋮ Rate of Convergence of General Phase Field Equations in Strongly Heterogeneous Media Toward Their Homogenized Limit ⋮ Reiterated homogenization of parabolic systems with several spatial and temporal scales ⋮ Computational investigation of porous media phase field formulations: microscopic, effective macroscopic, and Langevin equations ⋮ Quantitative estimates in reiterated homogenization ⋮ Homogenization for locally periodic elliptic operators

Cites Work

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• Some estimates from homogenized elasticity problems
• On operator estimates in nonsymmetric averaging problems
• Operator estimates in reiterated and locally periodic homogenization
• On operator estimates in homogenization theory
• Elliptic equation with nonsymmetric matrix: averaging of the ``variational solutions
• Estimates in homogenization of parabolic equations with locally periodic coefficients
• Second order periodic differential operators. Threshold properties and homogenization

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