Reiterated homogenization of monotone parabolic problems

被引：0
|
作者：
Flodén L. [1 ]
Holmbom A. [1 ]
Olsson M. [1 ]
Svanstedt N. [2 ]
机构：
[1] Department of Mathematics, Mid-Sweden University
[2] Department of Computational Mathematics, Chalmers University
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2007年 / 53卷 / 2期
关键词：
G-convergence; Parabolic; Reiterated homogenization;
D O I：
10.1007/s11565-007-0014-0
中图分类号：
学科分类号：
摘要：
Reiterated homogenization is studied for divergence structure parabolic problems of the form ∂uε/∂t - div (a(x/, x/ 2, t, Duε) = f. It is shown that under standard assumptions on the function a(y 1,y 2,t,ξ) the sequence {uε} of solutions converges weakly in Lp(0,T; W 01,p(Ω) to the solution u of the homogenized problem ∂u/∂t - div(b(t ,D u) = f. © 2007 Università degli Studi di Ferrara.
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页码：217 / 232
页数：15
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