Global existence and blow-up of solutions of the Cauchy problem for a time fractional diffusion system

被引：7

作者：

Zhang, Quanguo ^{[1
]}

Sun, Hong-Rui ^{[2
]}

Li, Yaning ^{[3
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471022, Henan, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[3] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 05期

关键词：

Time fractional diffusion system; Blow-up; Global existence; Critical exponent; EVOLUTION-EQUATIONS;

D O I：

10.1016/j.camwa.2019.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove sharp blow-up and global existence results for the Cauchy problem of a time fractional diffusion system when initial values u(0) not equivalent to 0 and v(0) not equivalent to 0. The critical exponent of this problem is determined. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：1357 / 1366

页数：10

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