CONVERGENCE RATE IN PERIODIC HOMOGENIZATION OF HIGHER-ORDER PARABOLIC SYSTEMS REVISITED

被引：0
|
作者：
Meng, Qing [1 ]
Niu, Weisheng [2 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[2] Anhui Univ, Sch Math Sci, Ctr Pure Math, Hefei 230601, Peoples R China
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2022年 / 35卷 / 9-10期
关键词：
D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the convergence rate in periodic homogenization of higher order parabolic systems with time-dependent coefficients. The sharp O(epsilon)-order scaling invariant convergence rate in the space L-2 (0, T; W-m-1,W-p0 (Omega)), p(0) = 2d/d-1 is derived by the duality argument. This largely improves the corresponding result by Niu and Xu in Discrete Contin. Dynam. Systems. Series A 38(8): 4203-4229 (2018).
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页码：531 / 557
页数：27
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