Bi-space Global Attractors for a Class of Nonclassical Parabolic Equations with Arbitrary Polynomial Growth in Unbounded Domain

被引：0

作者：

Li, Jia-lin ^{[1
]}

Zhang, Fang-hong ^{[2
]}

机构：

[1] Hainan Univ, Coll Appl Sci & Technol, Danzhou 571737, Peoples R China

[2] Lanzhou Commercial Coll, Dept Math, Longqiao Coll, Lanzhou 730101, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Nonclassical diffusion equations; global attractor; absorbing set; unbounded domain; REACTION-DIFFUSION EQUATIONS; CAHN-HILLIARD EQUATION; PULLBACK ATTRACTORS; UNIQUENESS; EXISTENCE; DYNAMICS; SYSTEM;

D O I：

10.1007/s00009-015-0617-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the dynamical behavior of the nonclassical diffusion equation in unbounded domain while the nonlinearity satisfy the arbitrary order polynomial growth conditions. Using the tail-estimated method and the asymptotic a priori estimate method, we obtain the existence of -global attractor, -global attractor, -global attractor and -global attractor.

引用

页码：1807 / 1821

页数：15

共 40 条

[1] Bi-space Global Attractors for a Class of Nonclassical Parabolic Equations with Arbitrary Polynomial Growth in Unbounded Domain
Jia-lin Li
Fang-hong Zhang
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 1807 - 1821
[2] Attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity
Xie, Yongqin
Li, Qingsong
Zhu, Kaixuan
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 31 : 23 - 37
[3] Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth
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[5] Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth
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[7] Bi-space Global Attractors for a Class of Second-Order Evolution Equations with Dispersive and Dissipative Terms in Locally Uniform Spaces
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[J]. Mediterranean Journal of Mathematics, 2023, 20
[8] Bi-space Global Attractors for a Class of Second-Order Evolution Equations with Dispersive and Dissipative Terms in Locally Uniform Spaces
Zhang, Fang-hong
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
[9] UNBOUNDED STURM GLOBAL ATTRACTORS FOR SEMILINEAR PARABOLIC EQUATIONS ON THE CIRCLE
Pimentel, Juliana F. S.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2016, 48 (06) : 3860 - 3882
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[J]. MONATSHEFTE FUR MATHEMATIK, 2016, 180 (03): : 649 - 660

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