| Homogenization of a nonlinear degenerate parabolic equation |
| |
| 作者姓名： | HOU Xiu-mei ZHANG Xing-you |
| |
| 作者单位： | [1]College of Mathematics and Physics, Chongqing University, Chongqing 400030, P.R. China |
| |
| 基金项目： | Funded by the Scientific Research Foundation for Returned 0verseas Chinese Scholars under the State Education Ministry, and the Key Teachers＇ Foundation of Chongqing University. |
| |
| 摘 要： | 1 Introduction a Let T > 0 and Ω be a bounded open set of R n with Lipschitz boundary ? Ω and let ? Ω = Γ 1 ∪ Γ2 with 1 H n? ( Γ1) > 0, we consider the homogenization of the mixed boundary value problem of the following equation set: 1 2 0 ( ) div ( , , , ) ( , ) ( , ) in (0, ), ( , , , ) 0 on (0, ), on (0, ), ( ,0) in , t b u a x t u u g xu f x t T a x tu u v T u h T u x u ε ε ε ε ε ε ε ε ε ε ε Ω ε εΓ Γ Ω ??? ? ? ? = ?? × ??? ? = × ? ??? = =× ?? (1) where v is the…
|
| 关 键 词： | 非线性抛物线方程 退化方程 齐次方程 收敛性 |
| 文章编号： | 1671-8224（2005）03-0179-04 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2005-06-14 |
Homogenization of a nonlinear degenerate parabolic equation |
| |
| HOU Xiu-mei ZHANG Xing-you.Homogenization of a nonlinear degenerate parabolic equation[J].Journal of Chongqing University,2005,4(3):179-182. |
| |
| Authors: | HOU Xiu-mei ZHANG Xing-you |
| |
| Abstract: | The homogenization of one kind of nonlinear parabolic equation is studied. The weak convergence and corrector results are obtained by combining carefully the compactness method and two-scale convergence method in the homogenization theory. |
| |
| Keywords: | Homogenization two-scale convergence degenerate parabolic equation degenerate parabolic equation nonlinear parabolic equation weak convergence corrector results compactness method homogenization theory kind |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《重庆大学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《重庆大学学报(英文版)》下载免费的PDF全文 |
