Meshkova , Y 2020 , ' Note on quantitative homogenization results for parabolic systems in R-d ' , Journal of Evolution Equations , vol. 21 , pp. 763–769 . https://doi.org/10.1007/s00028-020-00600-2
Title: | Note on quantitative homogenization results for parabolic systems in R-d |
Author: | Meshkova, Yulia |
Contributor organization: | Geometric Analysis and Partial Differential Equations Department of Mathematics and Statistics |
Date: | 2020-07-10 |
Language: | eng |
Number of pages: | 7 |
Belongs to series: | Journal of Evolution Equations |
ISSN: | 1424-3199 |
DOI: | https://doi.org/10.1007/s00028-020-00600-2 |
URI: | http://hdl.handle.net/10138/329487 |
Abstract: | In L-2(R-d; C-n), we consider a semigroup e(-tA epsilon), t >= 0, generated by a matrix elliptic second- order differential operator A(epsilon) >= 0. Coefficients of A(epsilon) are periodic. depend on X/epsilon, and oscillate rapidly as epsilon -> 0. Approximations for e(-tA epsilon )were obtained by Suslina (Funktsional Analiz i ego Prilozhen 38(4):86-90, 2004) and Suslina (Math Model Nat Phenom 5(4):390-447, 2010) via the spectral method and by Zhikov and Pastukhova (Russ J Math Phys 13(2):224-237, 2006) via the shift method. In the present note, we give another short proof based on the contour integral representation for the semigroup and approximations for the resolvent with two-parametric error estimates obtained by Suslina (2015). |
Subject: |
Homogenization
Convergence rates Parabolic systems Trotter-Kato theorem 111 Mathematics |
Peer reviewed: | Yes |
Rights: | cc_by |
Usage restriction: | openAccess |
Self-archived version: | publishedVersion |
Total number of downloads: Loading...
Files | Size | Format | View |
---|---|---|---|
Meshkova2021_Ar ... antitativeHomogenizati.pdf | 251.7Kb |
View/ |