TY  - Type of reference 
TI  - Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory 
AU  - Mohamed Berbiche 
AU  - Messaouda Terchi 
AB  - 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. 
DO  - 10.21494/ISTE.OP.2020.0555 
JF  - Advances in Pure and Applied Mathematics 
KW  - Parabolic system,  damped wave system,  global existence,  critical exponent, Parabolic system,  damped wave system,  global existence,  critical exponent,  
L1  - http://openscience.fr/IMG/pdf/iste_apam20v11n2_4.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2020/09/3 
SN  - 1869-6090 
TT  - Solutions globales pour un système d’équations de chaleur semi-linéaires et système correspondant d’équations d’ondes amorties 
UR  - http://openscience.fr/Global-Small-data-Solutions-for-a-system-of-semilinear-heat-equations-and-the 
IS  - Issue 2 (September 2020) 
VL  - 11 
ER  -