ARTICLE
SIMULTANEOUS NULL CONTROLLABILITY FOR A SYSTEM OF TWO STROKE EQUATIONS
- Journal of Nonlinear Evolution Equations and Applications , 2020 (2) : 33-56
Lien de l'article :
https://www.jneea.com/?2020-2
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
CEDRIC KPEBBEWERE SOME, SOMDOUDA SAWADOGO, MOUMINI KERE
Auteur(s) tagués :
SOME Kpèbbèwèrè Cédric
Renseignée par : SOME Kpèbbèwèrè Cédric
Résumé
In this paper, we study the null controllability for a system of two stroke equations arising from coupled population dynamics models. First, we transform the system of two stroke equations with the same control to a system of coupled two stroke equations with a control function acting only in one equation. Then, we establish a global Carleman inequality and we deduce an observability inequality that we use to solve the problem thanks to appropriate estimates adapted to the system.
Mots-clés
Population dynamics, Carleman inequality, incomplete data, Controllability