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：
暂无
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).
引用
收藏
页码：531 / 557
页数：27
相关论文
共 50 条
  • [41] Convergence and Dynamics of a Higher-Order Method
    Moysi, Alejandro
    Argyros, Ioannis K.
    Regmi, Samundra
    Gonzalez, Daniel
    Alberto Magrenan, A.
    Antonio Sicilia, Juan
    SYMMETRY-BASEL, 2020, 12 (03):
  • [42] Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case
    Zhao, Liang
    Xi, Shuai
    ASYMPTOTIC ANALYSIS, 2021, 124 (1-2) : 163 - 198
  • [43] CONVERGENCE RATES IN PERIODIC HOMOGENIZATION OF SYSTEMS OF ELASTICITY
    Shen, Zhongwei
    Zhuge, Jinping
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (03) : 1187 - 1202
  • [44] PERIODIC BOUNDARY-PROBLEMS AND INITIAL-VALUE PROBLEMS FOR DEGENERATE HYPERBOLIC AND PARABOLIC COUPLED SYSTEMS OF HIGHER-ORDER
    CHEN, GW
    KEXUE TONGBAO, 1987, 32 (03): : 147 - 151
  • [45] Slow motion in higher-order systems and Γ-convergence in one space dimension
    Kalies, WD
    VanderVorst, RCAM
    Wanner, T
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 44 (01) : 33 - 57
  • [46] A HIGHER-ORDER PARABOLIC WAVE-EQUATION
    KNIGHTLY, GH
    LEE, D
    STMARY, DF
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1987, 82 (02): : 580 - 587
  • [47] HIGHER-ORDER NONLINEAR DEGENERATE PARABOLIC EQUATIONS
    BERNIS, F
    FRIEDMAN, A
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 83 (01) : 179 - 206
  • [48] A SPLITTING PROCEDURE FOR PARABOLIC EQUATIONS OF HIGHER-ORDER
    EVANS, DJ
    DANAEE, A
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1983, 13 (01) : 85 - 92
  • [49] An inverse problem for a higher-order parabolic equation
    V. L. Kamynin
    E. Franchini
    Mathematical Notes, 1998, 64 : 590 - 599
  • [50] STOCHASTIC PARABOLIC EQUATIONS OF HIGHER-ORDER IN T
    CURTAIN, RF
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 46 (01) : 93 - 103
12345