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Strong Convergence Rates of Reiterated Homogenization Problems

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In this paper,we study the reiterated homogenization operators Le=-div(A(x/e,x/e2)▽).We establish the homogenized problem and representation equa-tion by introducing the two correctors.As a consequence,we obtain the H01 and L2 convergence estimates of solutions.

Convergence theoremsWeak solutionsHomogenization operators

ZHAO Jie、WU Xi-min、WANG Juan

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College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(2)