重复齐次化问题的强收敛率

doi:10.13371/j.cnki.chin.q.j.m.2024.02.005

数学季刊 ›› 2024, Vol. 39 ›› Issue (2): 171-179.doi: 10.13371/j.cnki.chin.q.j.m.2024.02.005

重复齐次化问题的强收敛率

赵杰, 吴喜民, 王娟

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

收稿日期:2023-03-06 出版日期:2024-06-30 发布日期:2024-06-30
通讯作者: ZHAO Jie (1983-), male, native of Kaifeng, Henan, associate professor of Zhongyuan University of Technology, engages in partial differential equations; E-mail: kaifengajie@163.com
作者简介: ZHAO Jie (1983-), male, native of Kaifeng, Henan, associate professor of Zhongyuan University of Technology, engages in partial differential equations; WU Xi-min (1997-), male, native of Fuzhou, Jiangxi, graduate student of Zhongyuan University of Technology, engages in partial differential equations; WANG Juan (1984-), female, native of Kaifeng, Henan, lecturer of Zhongyuan University of Technology, engages in partial differential equations.
基金资助:
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).

Strong Convergence Rates of Reiterated Homogenization Problems

ZHAO Jie, WU Xi-min, WANG Juan

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

Received:2023-03-06 Online:2024-06-30 Published:2024-06-30
Contact: ZHAO Jie (1983-), male, native of Kaifeng, Henan, associate professor of Zhongyuan University of Technology, engages in partial differential equations; E-mail: kaifengajie@163.com
About author: ZHAO Jie (1983-), male, native of Kaifeng, Henan, associate professor of Zhongyuan University of Technology, engages in partial differential equations; WU Xi-min (1997-), male, native of Fuzhou, Jiangxi, graduate student of Zhongyuan University of Technology, engages in partial differential equations; WANG Juan (1984-), female, native of Kaifeng, Henan, lecturer of Zhongyuan University of Technology, engages in partial differential equations.
Supported by:
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/Abstract

摘要： In this paper, we study the reiterated homogenization operators L_ε=−div(A(x/ε,x/ε2)∇). We establish the homogenized problem and representation equation by introducing the two correctors. As a consequence, we obtain the H₀¹and L²convergence estimates of solutions.

关键词: Convergence theorems, Weak solutions, Homogenization operators

Abstract: In this paper, we study the reiterated homogenization operators L_ε=−div(A(x/ε,x/ε2)∇). We establish the homogenized problem and representation equation by introducing the two correctors. As a consequence, we obtain the H₀¹and L²convergence estimates of solutions.

Key words: Convergence theorems, Weak solutions, Homogenization operators

中图分类号:

O175.25

赵杰, 吴喜民, 王娟. 重复齐次化问题的强收敛率[J]. 数学季刊, 2024, 39(2): 171-179.

ZHAO Jie, WU Xi-min, WANG Juan. Strong Convergence Rates of Reiterated Homogenization Problems[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(2): 171-179.

重复齐次化问题的强收敛率

Strong Convergence Rates of Reiterated Homogenization Problems

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价