@ARTICLE{10.21494/ISTE.OP.2020.0555, 

TITLE={Solutions globales pour un système d’équations de chaleur semi-linéaires et système correspondant d’équations d’ondes amorties}, 
  
AUTHOR={Mohamed Berbiche, Messaouda Terchi, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={11}, 

NUMBER={Numéro 2 (Septembre 2020)}, 
	
YEAR={2020}, 

URL={https://openscience.fr/Solutions-globales-pour-un-systeme-d-equations-de-chaleur-semi-lineaires-et}, 
	
DOI={10.21494/ISTE.OP.2020.0555}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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.}}