On homogenization of periodic parabolic systems

被引：0
|
作者：
T. A. Suslina
机构：
[1] St. Petersburg State University,Department of Physics
来源：
Functional Analysis and Its Applications | 2004年 / 38卷
关键词：
periodic parabolic system; Cauchy problem; homogenization; effective medium;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study homogenization in the small period limit for a periodic parabolic Cauchy problem in ℝd and prove that the solutions converge in L2(ℝd) to the solution of the homogenized problem for each t > 0. For the L2(ℝd)-norm of the difference, we obtain an order-sharp estimate uniform with respect to the L2(ℝd)-norm of the initial value.
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页码：309 / 312
页数：3
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