On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder

DOI10.1007/s10688-016-0131-6zbMath1343.35022arXiv1508.04963OpenAlexW2749984164MaRDI QIDQ302473

N. N. Senik

Publication date: 8 July 2016

Published in: Functional Analysis and its Applications, SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04963

zbMATH Keywords

correctoreffective operatoroperator error estimatescorrector type estimateslower order perturbed divergence form operatorsoperator-norm error estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Norm resolvent convergence of elliptic operators in domains with thin spikes, On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder, Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions, On homogenization for non-self-adjoint locally periodic elliptic operators, On operator-type homogenization estimates for elliptic equations with lower order terms, On resolvent approximations of elliptic differential operators with periodic coefficients, Operator estimates in homogenization of elliptic systems of equations, Operator estimates in two-dimensional problems with a frequent alternation in the case of small parts with the Dirichlet condition, Homogenization for Locally Periodic Elliptic Problems on a Domain, Improved resolvent 𝐿²-approximations in homogenization of fourth order operators, \(L^2\)-estimates for homogenization of diffusion operators with unbounded nonsymmetric matrices, Homogenization for operators with arbitrary perturbations in coefficients, Homogenization estimates for singularly perturbed operators, Homogenization for locally periodic elliptic operators, Directional homogenization of elliptic equations in non-divergence form, Resolvent approximations in \(L^2\)-norm for elliptic operators acting in a perforated space, Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions, Approximations of resolvents of second order elliptic operators with periodic coefficients, Approximation of resolvents in homogenization of fourth-order elliptic operators

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