A degenerate population system: Carleman estimates and controllability

被引：13

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.

引用

页数：29

共 50 条

[21] Carleman estimates and controllability of linear stochastic heat equations [J].

Barbu, V ;

Rascanu, A ;

Tessitore, G .

APPLIED MATHEMATICS AND OPTIMIZATION, 2003, 47 (02) :97-120

[22] Carleman Estimates and Exact Controllability Results for a Transmission System of two Nonconservative wave Equations [J].

Louis-Rose, Carole ;

Perina, Ali ;

Tebou, Louis .

APPLIED MATHEMATICS AND OPTIMIZATION, 2025, 91 (03)

[23] GLOBAL CARLEMAN ESTIMATES FOR A FOURTH ORDER PARABOLIC EQUATIONS AND APPLICATION TO NULL CONTROLLABILITY [J].

Li, Fang ;

You, Bo .

MATHEMATICAL CONTROL AND RELATED FIELDS, 2025,

[24] Carleman estimates and null controllability of a class of singular parabolic equations [J].

Du, Runmei ;

Eichhorn, Jurgen ;

Liu, Qiang ;

Wang, Chunpeng .

ADVANCES IN NONLINEAR ANALYSIS, 2019, 8 (01) :1057-1082

[25] Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations [J].

Louis-Rose, Carole ;

Tebou, Louis .

APPLIED MATHEMATICS AND OPTIMIZATION, 2023, 88 (02)

[26] Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations [J].

Carole Louis-Rose ;

Louis Tebou .

Applied Mathematics & Optimization, 2023, 88

[27] CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC EQUATIONS WITH SINGLE INTERIOR DEGENERACY POINT AND APPLICATIONS [J].

Wu, Weijia ;

Hu, Yaozhong ;

Liu, Yuanhang ;

Yang, Donghui .

MATHEMATICAL CONTROL AND RELATED FIELDS, 2025,

[28] Null Controllability for a Degenerate Population Equation with Memory [J].

Allal, Brahim ;

Fragnelli, Genni ;

Salhi, Jawad .

APPLIED MATHEMATICS AND OPTIMIZATION, 2022, 86 (03)

[29] Global Carleman Estimates for Degenerate Parabolic Operators with Applications Introduction [J].

Cannarsa, P. ;

Martinez, P. ;

Vancostenoble, J. .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 239 (1133) :1-+

[30] CARLEMAN ESTIMATES OF SOME STOCHASTIC DEGENERATE PARABOLIC EQUATIONS AND APPLICATION [J].

Liu, Xu ;

Yu, Yongyi .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (05) :3527-3552

← 1 2 3 4 5 →