Asymptotic Behavior of a Class of Degenerate Parabolic Equations

被引：4

作者：

Li, Hongtao ^{[2
]}

Ma, Shan ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Lanzhou Jiaotong Univ, Sch Traff & Transportat, Lanzhou 730070, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

美国国家科学基金会;

关键词：

LONG-TIME BEHAVIOR; GLOBAL ATTRACTORS; GINZBURG-LANDAU; EXISTENCE; CONVERGENCE;

D O I：

10.1155/2012/673605

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain Omega subset of R-n (n >= 2) with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in L-2(Omega), L-p(Omega), and H-0(1,a)(Omega), respectively, when H-0(1,a)(Omega) can be just compactly embedded into L-r(Omega) (r < 2) but not L-2(Omega).

引用

页数：15

共 50 条

[1] Asymptotic behavior of a class of non-autonomous degenerate parabolic equations
Wang, Bixiang
Jones, Robert
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (9-10) : 3887 - 3902
[2] The asymptotic behavior of solutions for a class of doubly degenerate nonlinear parabolic equations
Zhan, Huashui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (01) : 1 - 10
[3] Asymptotic behavior for doubly degenerate parabolic equations
Agueh, M
COMPTES RENDUS MATHEMATIQUE, 2003, 337 (05) : 331 - 336
[4] THE ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS OF DEGENERATE PARABOLIC EQUATIONS
BANDLE, C
POZIO, MA
TESEI, A
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 303 (02) : 487 - 501
[5] Asymptotic Behavior of Solutions of Inverse Problems for Degenerate Parabolic Equations
V. L. Kamynin
Differential Equations, 2018, 54 : 633 - 647
[6] Asymptotic behavior for nonlinear degenerate parabolic equations with irregular data
Niu, Weisheng
Meng, Qing
Chai, Xiaojuan
APPLICABLE ANALYSIS, 2021, 100 (16) : 3391 - 3405
[7] Asymptotic Behavior of Solutions of Inverse Problems for Degenerate Parabolic Equations
Kamynin, V. L.
DIFFERENTIAL EQUATIONS, 2018, 54 (05) : 633 - 647
[8] Asymptotic expansions for degenerate parabolic equations
Pagliarani, Stefano
Pascucci, Andrea
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (12) : 1011 - 1016
[9] EXISTENCE OF SOLUTION AND ASYMPTOTIC BEHAVIOR FOR A CLASS OF PARABOLIC EQUATIONS
de Araujo, Anderson L. A.
Montenegro, Marcelo
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (03) : 1213 - 1227
[10] Asymptotic behavior of solutions to a class of semilinear parabolic equations
Guo, Wei
Wang, Xinyue
Zhou, Mingjun
BOUNDARY VALUE PROBLEMS, 2016,

← 1 2 3 4 5 →