Blow-up of solutions for a time-space fractional evolution system

被引：3
|
作者：
Xu, Yong Qiang [1 ]
Tan, Zhong [2 ]
机构：
[1] Zhangzhou Normal Univ, Dept Math & Informat Sci, Zhangzhou 363000, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Local existence; fractional integrals and derivatives; evolution systems;
D O I：
10.1007/s10114-013-1433-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, firstly, we study the local existence and uniqueness of mild solutions for fractional evolution systems with nonlocal in time nonlinearity. Then, we claim that such a mild solution is weak solution of this system. Finally, we prove a blow-up result under some conditions.
引用
收藏
页码：1067 / 1074
页数：8
相关论文
共 50 条
12345