A degenerate population system: Carleman estimates and controllability

被引：12
|
作者：
Boutaayamou, Idriss [1 ]
Fragnelli, Genni [2 ]
机构：
[1] Univ Ibn Zohr, Fac Polydisciplinaires Ouarzazate, Dept Math Informat & Gest, BP 638, Ouarzazate 45000, Morocco
[2] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 195卷
关键词：
Population cascade model; Degenerate equations; Carleman estimates; Mull controllability; Observability inequality; NULL CONTROLLABILITY; PARABOLIC EQUATIONS; AGE; DYNAMICS;
D O I：
10.1016/j.na.2019.111742
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：29
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