Homogenization of a nonstationary model equation of electrodynamics
type: Item
instance of: scholarly article
title: Homogenization of a nonstationary model equation of electrodynamics
zbMATH Open document ID: 1406.35380
DOI: 10.1134/S0001434617110050
author: M. A. Dorodnyi
author: T. A. Suslina
published in: Mathematical Notes
publication date: 2018-02-28T00:00:00Z
review text: This paper focus on the limiting behaviour of a family of operators. The authors establish the rigorous derivation of the limit, and prove relevant error estimates. The homogenization of the Cauchy problem for a hyperbolic-type model equation from electromagnetics is considered as a specific application of the method developed.
reviewed by: D. C. Antonopoulou
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35B27
zbMATH DE Number: 6845170
zbMATH Keywords: periodic differential operator
zbMATH Keywords: homogenization
zbMATH Keywords: operator error estimate
zbMATH Keywords: nonstationary Maxwell system
MaRDI profile type: Publication
cites work: Q4197852
cites work: Q3746966
cites work: Q3996839
cites work: Second order periodic differential operators. Threshold properties and homogenization
cites work: Homogenization with corrector term for periodic elliptic differential operators
cites work: Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
cites work: Operator error estimates in the homogenization problem for nonstationary periodic equations
cites work: On homogenization of periodic parabolic systems
cites work: On operator estimates in homogenization theory
cites work: On operator estimates for some problems in homogenization theory
cites work: Estimates of homogenization for a parabolic equation with periodic coefficients
cites work: Operator estimates in homogenization theory
cites work: Homogenization of Schrödinger-type equations
cites work: Spectral approach to homogenization of nonstationary Schrödinger-type equations
cites work: Homogenization of hyperbolic equations
cites work: Spectral approach to homogenization of hyperbolic equations with periodic coefficients
cites work: Homogenization of a stationary periodic Maxwell system
cites work: Q5526485
cites work: Estimates for the averaged matrix and the averaged tensor
full work available at URL: s0001434617110050
OpenAlex ID: W2779848869
description: scientific article; zbMATH DE number 6845170