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.
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页码：224 / 237
页数：13
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