Estimates of homogenization for a parabolic equation with periodic coefficients

被引：0

作者：

V. V. Zhikov

S. E. Pastukhova

机构：

[1] Vladimir State Pedagogical Institute,Department of Mathematics

来源：

Russian Journal of Mathematical Physics | 2006年 / 13卷

关键词：

Mathematical Physic; Parabolic Equation; Operator Estimate; Zero Approximation; Homogenization Theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The asymptotic behavior of the operator exponent related to the Cauchy problem for a parabolic equation with periodic coefficients is studied either under the reduction of the periodicity cell or for large times. Estimates for the closeness of the operator exponentials (the original and the limit) with respect to the L2-operator norm and the related H1-estimates are obtained under minimal assumptions concerning the smoothness of the heat matrix and of the initial data.

引用

下载

页码：224 / 237

页数：13

共 50 条

[31] Uniform Regularity Estimates in Parabolic Homogenization
Geng, Jun
Shen, Zhongwei
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2015, 64 (03) : 697 - 733
[32] Homogenization Estimates for Parabolic Equations with Correctors
Pastukhova S.E.
Journal of Mathematical Sciences, 2023, 276 (1) : 137 - 153
[33] Homogenization of elliptic and parabolic equations with periodic coefficients in a bounded domain under the Neumann condition
Suslina, T. A.
IZVESTIYA MATHEMATICS, 2024, 88 (04)
[34] Homogenization of parabolic equations with contrasting coefficients
Sandrakov, GV
IZVESTIYA MATHEMATICS, 1999, 63 (05) : 1015 - 1061
[35] Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients:: A probabilistic approach
Pardoux, É
JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 167 (02) : 498 - 520
[36] Error Estimates of Homogenization in the Neumann Boundary Problem for an Elliptic Equation with Multiscale Coefficients
Pastukhova S.E.
Tikhomirov R.N.
Journal of Mathematical Sciences, 2016, 216 (2) : 325 - 344
[37] Uniform null controllability of a parabolic equation with rapidly oscillating periodic coefficients
Tebou, Louis
ASYMPTOTIC ANALYSIS, 2012, 80 (1-2) : 149 - 170
[38] Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation
M. M. Sirazhudinov
S. P. Dzhamaludinova
Differential Equations, 2022, 58 : 771 - 790
[39] Estimates of Homogenization for the Beltrami Equation
Pastukhova S.E.
Journal of Mathematical Sciences, 2016, 219 (2) : 226 - 235
[40] Periodic Homogenization of a Pseudo-Parabolic Equation via a Spatial-Temporal Decomposition
Vromans, Arthur J.
van de Ven, Alphons Adrianus Francisca
Muntean, Adrian
PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2018, 2019, 30 : 321 - 327

← 1 2 3 4 5 →