Secondary critical exponent,large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Secondary critical exponent,large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values

Authors:	Yongsheng Mi Chunlai Mu Rong Zeng

Institution:	1.College of Mathematics and Statistics,Chongqing University,Chongqing,People’s Republic of China;2.College of Mathematics and Computer Sciences,Yangtze Normal University,Fuling, Chongqing,People’s Republic of China

Abstract:	In this paper, we consider the positive solution of the Cauchy problem for the following doubly degenerate parabolic equation $$u_t-{\rm div}(\|\nabla u\|^{p} \nabla u^m)=u^q$$ with p > 0, q > 1,m > 1, and initial value decaying at infinity and give a new secondary critical exponent for the existence of global and nonglobal solutions. Furthermore, the large time behavior and the life spans of solutions are also studied.

Keywords:
本文献已被 SpringerLink 等数据库收录！