BLOWUP OF SOLUTIONS TO DEGENERATE KIRCHHOFF-TYPE DIFFUSION PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN

被引：0
|
作者：
Yang, Yanbing [1 ,2 ]
Tian, Xueteng [1 ]
Zhang, Meina [1 ]
Shen, Jihong [1 ]
机构：
[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Heilongjiang, Peoples R China
[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年
关键词：
Kirchhoff-type problem; parabolic equation; fractional p-Laplacian; blow-up of solution; blow-up time; PARABOLIC EQUATIONS; GLOBAL EXISTENCE; TIME;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an initial boundary value problem for Kirchhoff-type parabolic equation with the fractional p-Laplacian. We first discuss the blow up of solutions in finite time with three initial energy levels: subcritical, critical and supercritical initial energy levels. Then we estimate an upper bound of the blowup time for low and for high initial energies.
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页数：22
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