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.

引用

页码：57 / 87

页数：31

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