Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term

被引：18
作者：
Ma, Qiaozhen [1 ]
Wang, Xiaoping [1 ]
Xu, Ling [1 ]
机构：
[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2016年
关键词：
nonclassical reaction-diffusion equations; time-dependent attractors; regularity; DYNAMICS; H-1(R-N);
D O I：
10.1186/s13661-015-0513-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the notation of time-dependent attractors, we prove the existence and the regularity of time-dependent global attractors for a class of nonclassical reaction-diffusion equations when the forcing term g(x) is an element of H-1 (Omega) and the nonlinear function satisfies the critical exponent growth, which is weaker than the conditions used in (Jing and Liu in Appl. Anal. 94(7): 1439-1449, 2015).
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页码：1 / 11
页数：11
相关论文
共 21 条
  • [11] Time-dependent global attractor for the nonclassical diffusion equations
    Ding, Tao
    Liu, Yong-feng
    [J]. APPLICABLE ANALYSIS, 2015, 94 (07) : 1439 - 1449
  • [12] QUASILINEAR EVOLUTION-EQUATIONS IN NONCLASSICAL DIFFUSION
    KUTTLER, K
    AIFANTIS, E
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (01) : 110 - 120
  • [13] Liu YF, 2009, ELECTRON J DIFFER EQ
  • [14] Global Attractors in H1(RN) for Nonclassical Diffusion Equations
    Ma, Qiao-zhen
    Liu, Yong-feng
    Zhang, Fang-hong
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [15] Global attractors for a nonclassical diffusion equation
    Sun, Chun You
    Wang, Su Yun
    Zhong, Cheng Kui
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (07) : 1271 - 1280
  • [16] Dynamics of the nonclassical diffusion equations
    Sun, Chunyou
    Yang, Meihua
    [J]. ASYMPTOTIC ANALYSIS, 2008, 59 (1-2) : 51 - 81
  • [17] On the dynamics of a class of nonclassical parabolic equations
    Wang, SY
    Li, DS
    Zhong, CK
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (02) : 565 - 582
  • [18] Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term
    Wu, Hongqing
    Zhang, Zhuanye
    [J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2011, 26 (04): : 391 - 400
  • [19] Xiao Yuelong, 2002, [Acta Mathematicae Applicatae Sinica, Ying yung shu hseh hseh pao], V18, P273
  • [20] Pullback attractors in H1(RN) for non-autonomous nonclassical diffusion equations
    Zhang, Fanghong
    Liu, Yongfeng
    [J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2014, 29 (01): : 106 - 118
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