DYNAMICS OF THE p-LAPLACIAN EQUATIONS WITH NONLINEAR DYNAMIC BOUNDARY CONDITIONS

被引：0

作者：

Cheng, Xiyou ^{[1
,2
]}

Wei, Lei ^{[3
]}

机构：

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

[2] Key Lab Appl Math & Complex Syst, Lanzhou, Gansu, Peoples R China

[3] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

p-Laplacian equation; boundary condition; asymptotic regularity; attractor; PARABOLIC EQUATIONS; GLOBAL ATTRACTORS; UNIFORM ATTRACTORS; EXISTENCE; BEHAVIOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the long-time behavior of the p-Laplacian equation with nonlinear dynamic boundary conditions for both autonomous and non-autonomous cases. For the autonomous case, some asymptotic regularity of solutions is proved. For the non-autonomous case, we obtain the existence and structure of a compact uniform attractor in L-r1 (Omega) x L-r(Gamma) (r = min(r(1), r(2))).

引用

页数：15

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