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.

引用

页码：309 / 312

页数：3

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