Elliptic equation with nonsymmetric matrix: averaging of the ``variational solutions

DOI10.1134/S0001434607030340zbMath1180.35142OpenAlexW2060002632MaRDI QIDQ2473740

S. E. Pastukhova, S. V. Tikhomirova

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607030340

zbMATH Keywords

diffusion equationaveraging problemelliptic equationvariational solutionapproximation solutionskew-symmetric periodic matrixsolenoidal vector

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

The Dirichlet problem for elliptic equations with multiscale coefficients. Operator estimates for homogenization ⋮ \(L^2\)-estimates for homogenization of diffusion operators with unbounded nonsymmetric matrices ⋮ Approximation of the exponential of a diffusion operator with multiscale coefficients ⋮ Operator estimates in nonlinear problems of reiterated homogenization ⋮ Resolvent approximations in \(L^2\)-norm for elliptic operators acting in a perforated space

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