Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators

被引:2
|
作者
Cung The Anh [1 ]
Tang Quoc Bao [1 ]
机构
[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam
关键词
nonautonomous parabolic equation; weighted p-Laplacian operator; global solution; pullback attractor; uniform attractor; compactness and monotonicity methods; asymptotic a priori estimate method; REACTION-DIFFUSION EQUATIONS; LONG-TIME BEHAVIOR; DYNAMICAL-SYSTEMS; GLOBAL ATTRACTORS; EXISTENCE; CONVERGENCE;
D O I
10.4064/ap101-1-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for nonautonomous quasilinear degenerate parabolic equations involving weighted p-Laplacian operators in bounded domains, without restriction on the growth order of the polynomial type nonlinearity and on the exponential growth of the external force. The results obtained improve some recent ones for nonautonomous reaction-diffusion equations. Moreover, a relationship between pullback attractors and uniform attractors is given.
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页码:1 / 19
页数:19
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