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

Auteurs : Mohamed Berbiche, Messaouda Terchi,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 2 (September 2020) 

Volume : 11 

Date : 2020/09/3 

DOI : 10.21494/ISTE.OP.2020.0555 

ISSN : 1869-6090 

Résumé : We consider the Cauchy problem for a strongly coupled semi-linear heat equations with some kind of nonlinearity in multi-dimensional space ℝN. 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. 

Éditeur : ISTE OpenScience