Long-term analysis of degenerate parabolic equations in RN

被引：3
|
作者：
Yue, Gao Cheng [1 ]
Zhong, Cheng Kui [2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Jiangsu, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 03期
关键词：
Degenerate parabolic equations; unbounded domains; locally uniform spaces; global attractor; Kolmogorov epsilon-entropy; REACTION-DIFFUSION EQUATIONS; P-LAPLACIAN EQUATION; LOCALLY UNIFORM-SPACES; GLOBAL ATTRACTORS; UNBOUNDED-DOMAINS; EVOLUTION-EQUATIONS; ASYMPTOTIC-BEHAVIOR; EXISTENCE; ENTROPY; SYSTEM;
D O I：
10.1007/s10114-015-4178-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space a"e (N) is considered. By using a""-trajectories methods, we proved that weak solutions generated by degenerate equations possess an (L (U) (2) (a"e (N) ), L (loc) (2) (a"e (N) ))-global attractor. Moreover, the upper bounds of the Kolmogorov E >-entropy for such global attractor are also obtained.
引用
收藏
页码：383 / 410
页数：28
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