Reiterated homogenization of monotone parabolic problems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Reiterated homogenization of monotone parabolic problems

Authors:	Liselott Flodén Anders Holmbom Marianne Olsson Nils Svanstedt

Affiliation:	1.Department of Mathematics,Mid-Sweden University,?stersund,Sweden;2.Department of Computational Mathematics,Chalmers University,G?teborg,Sweden

Abstract:	Reiterated homogenization is studied for divergence structure parabolic problems of the form ${frac{partial u_{varepsilon}}{partial t}} - mathrm{div}left(aleft({frac{x}{varepsilon}},{frac{x}{varepsilon^2}} ,t, D u_{varepsilon}right)right)=f$ . It is shown that under standard assumptions on the function a(y ₁,y ₂,t,ξ) the sequence ${u_{varepsilon}}$ of solutions converges weakly in $L^p(0,T;W^{1,p}_0(Omega))$ to the solution u of the homogenized problem ${frac{partial u}{partial t}} - mathrm{div}left( b left( t,D u right)right) = f$ .

Keywords:	Reiterated homogenization G-convergence Parabolic
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