Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients
type: Item
instance of: scholarly article
title: Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients
zbMATH Open document ID: 1387.35035
author: Yu. M. Meshkova
author: T. A. Suslina
publication date: 2018-02-07T00:00:00Z
review text: The authors prove operator error estimates for linear elliptic equations posed in a smooth (non-oscillating) bounded domain as well as to a particular class of linear parabolic equations posed in the same type of domain as in the elliptic case. The homogenization is done in terms of suitable approximations of the generalized resolvent.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 6835371
zbMATH Keywords: periodic homogenization
zbMATH Keywords: operator error estimates
zbMATH Keywords: approximations of generalized resolvent
MaRDI profile type: Publication
full work available at URL: s10688-017-0187-y
OpenAlex ID: W2755278569
cites work: Q4189539
cites work: Q4692971
cites work: Non-homogeneous media and vibration theory
cites work: Q4308736
cites work: On operator estimates for some problems in homogenization theory
cites work: Two-parametric error estimates in homogenization of second-order elliptic systems in ℝd
cites work: Error estimate and unfolding for periodic homogenization
cites work: Interior error estimate for periodic homogenization
cites work: Convergence rates in \(L ^{2}\) for elliptic homogenization problems
cites work: HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
cites work: Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
cites work: Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev SpaceH1(ℝd)
cites work: Estimates of homogenization for a parabolic equation with periodic coefficients
cites work: Homogenization of initial boundary value problems for parabolic systems with periodic coefficients
cites work: Convergence rates in parabolic homogenization with time-dependent periodic coefficients
cites work: Convergence rates for general elliptic homogenization problems in Lipschitz domains
cites work: Q4953888
cites work: Q5607484
DOI: 10.1007/S10688-017-0187-Y
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 6835371