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Homogenization of a class of $p$-Laplace parabolic equation
ZENG Xingyun 1,ZHAO Leina 2 *
1.School of Mathematics, Hunan University , Changsha 410082
2.College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074
*Correspondence author
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Funding: none
Opened online:15 April 2020
Accepted by: none
Citation: ZENG Xingyun,ZHAO Leina.Homogenization of a class of $p$-Laplace parabolic equation[OL]. [15 April 2020] http://en.paper.edu.cn/en_releasepaper/content/4751436
 
 
In this paper, we study the homogenization of a class of $p$-Laplacian parabolic equation defined on a $n$-dimensional cylinder which finally converges to a one-dimensional line segment. The problem is the parabolic equation with $p$-Laplacian operator, and the coefficient of this equation is a monotone, uniformly $p$-coercive, uniform $p$-growth Carathéodory function. Finally we obtain the solution and its limit of problem by L. Tartar theory, and the limit and asymptotic properties of the coefficients $A_\varepsilon$ of the equation are obtained.
Keywords:Homogenization;$p$-Laplacian Parabolic Equation; L. Tartar Theory
 
 
 

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