The critical exponents for a time fractional diffusion equation with nonlinear memory in a bounded domain
The critical exponents for a time fractional diffusion equation with nonlinear memory in a bounded domain
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有界域中具有非线性记忆的时间分数扩散方程的临界指数
DOI：
10.1016/j.aml.2018.12.021
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发表时间：
2019
影响因子：
3.7
通讯作者：
Li Yaning
中科院分区：
文献类型：
--
作者：
Zhang Quanguo;Li Yaning
本文证明了有界区域上一类具有非线性记忆的时间分数阶次扩散方程的爆破和整体解的存在性。分别在α< γ和α≥ γ时确定了该问题的临界指数。
In this paper, we prove sharp blow-up and global existence results for a time fractional subdiffusion equation with nonlinear memory in a bounded domain. The critical exponents of this problem are determined when α< γ and α≥ γ, respectively.