A note on the life span of semilinear pseudo-parabolic equation

被引:6
|
作者
Cao, Yang [1 ]
Wang, Zhiyong [2 ,3 ]
Yin, Jingxue [4 ]
机构
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[3] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China
[4] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
关键词
Pseudo-parabolic equation; Life span; Compact support initial value; CAUCHY-PROBLEM; HEAT-EQUATION;
D O I
10.1016/j.aml.2019.06.039
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the Cauchy problem for the semilinear pseudo-parabolic equation with initial data with compact support. We find the life span of the solution, when the power exponent p is smaller than the Fujita exponent. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码:406 / 410
页数:5
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