Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients
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Publication:4608711
DOI10.1090/spmj/1496zbMath1394.35031OpenAlexW2789924054WikidataQ130130246 ScholiaQ130130246MaRDI QIDQ4608711
Publication date: 22 March 2018
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/spmj/1496
Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Convergence rates in homogenization of higher-order parabolic systems ⋮ The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes ⋮ Multiplication of distributions and algebras of mnemofunctions ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Homogenization for operators with arbitrary perturbations in coefficients ⋮ Homogenization of operators with perturbations of general form in the lower-order terms ⋮ Convergence rates and interior estimates in homogenization of higher order elliptic systems ⋮ Homogenization of higher-order parabolic systems in a bounded domain ⋮ Operator Perturbation Approach for Fourth Order Elliptic Equations with Variable Coefficients ⋮ Uniform boundary estimates in homogenization of higher-order elliptic systems ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary ⋮ Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients ⋮ Convergence rate in homogenization of elliptic systems with singular perturbations ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach ⋮ Convergence rates in almost-periodic homogenization of higher-order elliptic systems
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