Null controllability for a parabolic-elliptic coupled system

被引：12

作者：

Fernandez-Cara, E. ^{[1
]}

Limaco, J. ^{[2
]}

de Menezes, Silvano B. ^{[3
]}

机构：

[1] Univ Seville, Dpto EDAN, E-41080 Seville, Spain

[2] Univ Fed Fluminense, Inst Matemat, BR-24020140 Niteroi, RJ, Brazil

[3] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2013年 / 44卷 / 02期

关键词：

null controllability; parabolic-elliptic systems; Carleman inequalities; APPROXIMATE CONTROLLABILITY;

D O I：

10.1007/s00574-013-0014-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the null controllability of some parabolic-elliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman estimates for the solutions to the adjoint system. Under appropriate assumptions, we also prove that the solution can be obtained as the asymptotic limit of some similar parabolic systems.

引用

页码：285 / 308

页数：24

共 50 条

[1] Null controllability for a parabolic-elliptic coupled system
E. Fernández-Cara
J. Limaco
Silvano B. de Menezes
Bulletin of the Brazilian Mathematical Society, New Series, 2013, 44 : 285 - 308
[2] NULL CONTROLLABILITY FROM THE EXTERIOR OF FRACTIONAL PARABOLIC-ELLIPTIC COUPLED SYSTEMS
Louis-Rose, Carole
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[3] Local null controllability for a chemotaxis system of parabolic-elliptic type
Guo, Bao-Zhu
Zhang, Liang
SYSTEMS & CONTROL LETTERS, 2014, 65 : 106 - 111
[4] Local null controllability for a parabolic-elliptic system with local and nonlocal nonlinearities
Prouvee, Laurent
Limaco, Juan
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (74)
[5] Approximate Controllability from the Exterior of Space Fractional Parabolic-Elliptic Coupled SystemsApproximate Controllability of Parabolic-Elliptic Systems
Carole Louis-Rose
Acta Applicandae Mathematicae, 2021, 176
[6] Approximate Controllability from the Exterior of Space Fractional Parabolic-Elliptic Coupled Systems Approximate Controllability of Parabolic-Elliptic Systems
Louis-Rose, Carole
ACTA APPLICANDAE MATHEMATICAE, 2021, 176 (01)
[7] Existence of a capacity solution to a coupled nonlinear parabolic-elliptic system
Gonzalez Montesinos, Maria Teresa
Ortegon Gallego, Francisco
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2007, 6 (01) : 23 - 42
[8] Wellposedness for a parabolic-elliptic system
Coclite, GM
Holden, H
Karlsen, KH
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 13 (03) : 659 - 682
[9] The attractor of a parabolic-elliptic system
Zong, Xiju
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3362 - 3370
[10] Bilinear Control for Global Controllability of the Parabolic-Elliptic Equations
Zong, Xiju
Cheng, Xingong
HIS 2009: 2009 NINTH INTERNATIONAL CONFERENCE ON HYBRID INTELLIGENT SYSTEMS, VOL 2, PROCEEDINGS, 2009, : 122 - 126

← 1 2 3 4 5 →