Increasing Powers in a Degenerate Parabolic Logistic Equation  

作　　者：Jos Francisco RODRIGUES Hugo TAVARES 

机构地区：[1]Department of Mathematics and CMAF,Universidade de Lisboa,Avenida Professor Gama Pinto 2,1649-003 Lisboa,Portugal

出　　处：《Chinese Annals of Mathematics,Series B》2013年第2期277-294,共18页数学年刊（B辑英文版）

基　　金：Project supported by Fundaco para a Ciência e a Tecnologia (FCT) (No. PEst OE/MAT/UI0209/2011);supported by an FCT grant (No. SFRH/BPD/69314/201)

摘　　要：The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem tu- △u=au-b（x）up in Ω×R＋,u（0）=u0,u（t ）｜ Ω=0, as p→ ＋∞, where Ω is a bounded domain, and b（x） is a nonnegative function. The authors deduce that the limiting configuration solves a parabolic obstacle problem, and afterwards fully describe its long time behavior.

关 键 词：Parabolic logistic equation Obstacle problem Positive solution Increasing power Subsolution and supersolution 

分 类 号：O175.26[理学—数学] O175.1[理学—基础数学]