Semilinear viscous Moore-Gibson-Thompson equation with the derivative-type nonlinearity: Global existence versus blow-up

被引：2
|
作者：
Shi, Jincheng [1 ]
Zhang, Yan [2 ]
Cai, Zihan [3 ]
Liu, Yan [3 ]
机构：
[1] Guangzhou Huashang Coll, Coll Data Sci, Huashang Rd, Guangzhou 511300, Peoples R China
[2] Guangdong Teachers Coll Foreign Language & Arts, Dept Appl Math, Longdong East Rd, Guangzhou 510521, Peoples R China
[3] Guangdong Univ Finance, Dept Appl Math, Yingfu Rd, Guangzhou 510521, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Moore-Gibson-Thompson equation; derivative-type nonlinearity; global existence of small data solution; decay estimate; blow-up; WAVE-EQUATION;
D O I：
10.3934/math.2022015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study global existence and blow-up of solutions to the viscous Moore-Gibson-Thompson (MGT) equation with the nonlinearity of derivative-type jutjp. We demonstrate global existence of small data solutions if p > 1 + 4/n (n <= 6) or p >= 2 - 2/n (n >= 7), and blow-up of nontrivial weak solutions if 1 < p <= 1 + 1/n. Deeply, we provide estimates of solutions to the nonlinear problem. These results complete the recent works for semilinear MGT equations by [4].
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页码：247 / 257
页数：11
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