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.
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页码：1357 / 1366
页数：10
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