Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data

被引：0

作者：

Duan, Yonghong ^{[1
]}

Hu, Chunlei ^{[2
]}

Chai, Xiaojuan ^{[2
]}

机构：

[1] Taiyuan Univ, Dept Math, Taiyuan 030032, Shanxi, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷

关键词：

NONLINEAR PARABOLIC EQUATIONS; P-LAPLACIAN EQUATIONS; GLOBAL ATTRACTORS; PULLBACK ATTRACTORS; EXISTENCE; MODEL; NONEXISTENCE; GROWTH;

D O I：

10.1155/2018/8186247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions as well as L-1-initial data and forcing terms. We first prove the existence and uniqueness of an entropy solution by smoothing approximations. Then we consider the large-time behavior of the solution. The existence of a global attractor for the solution semigroup is obtained in L-1((Omega) over bar, dv). This extends the corresponding results in the literatures.

引用

页数：13

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