Life span and secondary critical exponent for degenerate and singular parabolic equations

被引：6
作者：
Li, Zhongping [1 ]
Du, Wanjuan [1 ]
机构：
[1] China West Normal Univ, Coll Math & Informat, Nanchong 637009, Peoples R China
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2014年 / 193卷 / 02期
关键词：
Secondary critical exponent; Life span; Large time behavior; Degenerate and singular parabolic equations; Slowly decay initial data; CRITICAL FUJITA EXPONENTS; LARGE TIME BEHAVIOR; BLOW-UP; GLOBAL-SOLUTIONS; CAUCHY-PROBLEM; CHANNEL FLOW; NONEXISTENCE; EXISTENCE; BOUNDARY;
D O I：
10.1007/s10231-012-0287-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the large time behavior to the Cauchy problem of degenerate and singular parabolic equations. Firstly, we establish the secondary critical exponent on the decay asymptotic behavior of an initial value at infinity. Secondly, we give the large time behavior of the global solution. Finally, the precise estimate of life span for the blow-up solution is obtained.
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页码：501 / 515
页数：15
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