重复齐次化问题的强收敛率  

Strong Convergence Rates of Reiterated Homogenization Problems

作　　者：赵杰 吴喜民 王娟 ZHAO Jie;WU Xi-min;WANG Juan(College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China)

机构地区：[1]College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第2期171-179,共9页数学季刊（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11861045,11626239 and 11701449);China Scholarship Council(Grant No.201708410483);Education Department of Henan Province(Grant No.18A110037).

摘　　要：In this paper,we study the reiterated homogenization operators Lε=-div(A(x/ε,x/ε^(2))∇).We establish the homogenized problem and representation equa-tion by introducing the two correctors.As a consequence,we obtain the H10 and L2 convergence estimates of solutions.

关 键 词：Convergence theorems Weak solutions Homogenization operators 

分 类 号：O175.25[理学—数学]