Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (3): 525-533.

Previous Articles     Next Articles

Convergence in W01,p Space for the Elliptic Reiterated Homogenization Problems

Zhao Jie   

  1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049
  • Received:2013-10-21 Revised:2014-11-10 Online:2015-06-25 Published:2015-06-25

Abstract:

In this paper, we study the convergence of solutions for the elliptic reiterated homogenization problem of the form -div(A(x/ε,x/ε)▽uε)=f(x). We obtain the convergence rates in W01,p for solutions with Dirichlet boundary conditions. Our techniques are based on obtaining estimates for Green functions of the operators.

Key words: Homogenization, Convergence, Green functions

CLC Number: 

  • O175.23
Trendmd