Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory

被引：0
作者：
Berbiche, Mohamed [1 ]
Terchi, Messaouda [1 ]
机构：
[1] Univ Biskra, Lab Math Anal Probabil & Optimizat, POB 145, Biskra 07000, Algeria
来源：
ADVANCES IN PURE AND APPLIED MATHEMATICS | 2020年 / 11卷 / 02期
关键词：
Parabolic system; damped wave system; global existence; critical exponent; FUJITA CRITICAL EXPONENT; BLOW-UP; CAUCHY-PROBLEM; R-N; EXISTENCE; ASYMPTOTICS; BEHAVIOR; SPACE;
D O I：
10.21494/ISTE.OP.2020.0555
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Cauchy problem for a strongly coupled semi-linear heat equations with some kind of nonlinearity in multi-dimensional space R-N. We see under some conditions on the exponents and on the dimension N, that the existence and uniqueness of time-global solutions for small data and their asymptotic behaviors are obtained. This observation will be applied to the corresponding system of the damped wave equations in low dimensional space.
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页码：57 / 87
页数：31
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