The critical exponents for a time fractional diffusion equation with nonlinear memory in a bounded domain

被引：8

作者：

Zhang, Quanguo ^{[1
]}

Li, Yaning ^{[2
]}

机构：

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

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

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 92卷

关键词：

Time fractional subdiffusion equation; Blow-up; Global existence; Critical exponent; Nonlinear memory; CAUCHY-PROBLEMS;

D O I：

10.1016/j.aml.2018.12.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 alpha < gamma and alpha >= gamma, respectively. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：1 / 7

页数：7

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