Extinction and Positivity for a Doubly Nonlinear Degenerate Parabolic Equation  

作　　者：Hong Jun YUAN Song Zhe LIAN Chun Ling CAO Wen Jie GAO Xiao Jing XU 

机构地区：[1]Institute of Mathmatics, Jilin University, Jilin 130012, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第10期1751-1756,共6页数学学报（英文版）

基　　金：The project is supported by NSFC(10371050,10571072);by the 985 program of Jilin University

摘　　要：The aims of this paper are to discuss the extinction and positivity for the solution of the initial boundary value problem and Cauchy problem of ut = div（[↓△u^m｜p-2↓△u^m）. It is proved that the weak solution will be extinct for 1 〈 p ≤ 1 ＋ 1/m and will be positive for p 〉 1 ＋ 1/m for large t, where m 〉 0.The aims of this paper are to discuss the extinction and positivity for the solution of the initial boundary value problem and Cauchy problem of ut = div（[↓△u^m｜p-2↓△u^m）. It is proved that the weak solution will be extinct for 1 〈 p ≤ 1 ＋ 1/m and will be positive for p 〉 1 ＋ 1/m for large t, where m 〉 0.

关 键 词：doubly degenerate equation evolution equation EXTINCTION POSITIVITY 

分 类 号：O17[理学—数学]