Long-term Analysis of Degenerate Parabolic Equations in R^N  

作　　者：Gao Cheng YUE Cheng Kui ZHONG 

机构地区：[1]Department of Mathematics, Nanjing University of Aeronautics and Astronautics [2]Department of Mathematics, Nanjing University

出　　处：《Acta Mathematica Sinica,English Series》2015年第3期383-410,共28页数学学报（英文版）

基　　金：supported by the Fundamental Research Funds for the Central Universities(Grant No.NS2014075)

摘　　要：Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space RN is considered. By using-tra jectories methods, we proved that weak solutions generated by degenerate equations possess an（LU^2（R^N）, Lloc^2（R^N））-global attractor.Moreover, the upper bounds of the Kolmogorov ε-entropy for such global attractor are also obtained.Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space RN is considered. By using-tra jectories methods, we proved that weak solutions generated by degenerate equations possess an（LU^2（R^N）, Lloc^2（R^N））-global attractor.Moreover, the upper bounds of the Kolmogorov ε-entropy for such global attractor are also obtained.

关 键 词：Degenerate parabolic equations unbounded domains locally uniform spaces global attractor Kolmogorov ε-entropy 

分 类 号：O175.26[理学—数学] N941.4[理学—基础数学]