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

Global existence and blow-up of solutions of the Cauchy problem for a time fractional diffusion system
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时间分数扩散系统柯西问题解的全局存在性和爆炸

DOI:
10.1016/j.camwa.2019.03.013
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发表时间:
2019
影响因子:
2.9
通讯作者:
Li Yaning
Li Yaning
中科院分区:
数学2区
文献类型:
--
作者:
Zhang Quanguo;Sun Hong Rui;Li Yaning

文献摘要

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当初值u 0 <$0和v 0 <$0时,证明了一类时间分数阶扩散方程组Cauchy问题的爆破和整体解的存在性.确定了该问题的临界指数。
We prove sharp blow-up and global existence results for the Cauchy problem of a time fractional diffusion system when initial values u 0⁄≡ 0 and v 0⁄≡ 0. The critical exponent of this problem is determined.