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.

引用

页码：217 / 232

页数：15

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