A degenerate population system: Carleman estimates and controllability. (June 2020)

• Record Type: Journal Article
• Authors: Boutaayamou, Idriss; Fragnelli, Genni
• Is Part Of: Nonlinear analysis. Volume 195(2020)
• Publication Date: 2020-06
• Subjects: 35Q93 -- 93B05 -- 93B07 -- 34H15 -- 35A23 -- 35B99; Population cascade model -- Degenerate equations -- Carleman estimates -- Mull controllability -- Observability inequality; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.111742
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we consider a system in non divergence form which models the interaction between two different species u and v . Both of them depend on time, on age and on space. Moreover, the diffusion coefficients degenerate at the boundary of domain. We study, in particular, null controllability of the system via observability inequalities and Carleman estimates for the associated non homogeneous adjoint problem.