NULL CONTROLLABILITY OF DEGENERATE PARABOLIC EQUATIONS IN NON DIVERGENCE FORM VIA CARLEMAN ESTIMATES

被引：23

作者：

Fragnelli, Genni ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 03期

关键词：

Degenerate parabolic equations; null controllability; observability Carleman estimates; Hardy type inequality; 2ND-ORDER DIFFERENTIAL-OPERATORS; ANALYTIC SEMIGROUPS; HEAT-EQUATIONS; L-P;

D O I：

10.3934/dcdss.2013.6.687

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove null controllability results for the one dimensional degenerate heat equation in non divergence form with a drift term and Neumann boundary conditions. To this aim we prove Carleman estimates for the associated adjoint problem. Some linear extensions are considered.

引用

页码：687 / 701

页数：15

共 50 条

[1] Null controllability for a degenerate population model in divergence form via Carleman estimates
Fragnelli, Genni
ADVANCES IN NONLINEAR ANALYSIS, 2020, 9 (01) : 1102 - 1129
[2] CARLEMAN ESTIMATES AND NULL CONTROLLABILITY FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS WITH CONVECTION TERMS
Wang, Chunpeng
Du, Runmei
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (03) : 1457 - 1480
[3] Carleman estimates for degenerate parabolic operators with applications to null controllability
F. Alabau-Boussouira
P. Cannarsa
G. Fragnelli
Journal of Evolution Equations, 2006, 6 : 161 - 204
[4] Carleman estimates for degenerate parabolic operators with applications to null controllability
Alabau-Boussouira, F.
Cannarsa, P.
Fragnelli, G.
JOURNAL OF EVOLUTION EQUATIONS, 2006, 6 (02) : 161 - 204
[5] CARLEMAN ESTIMATES AND NULL CONTROLLABILITY OF DEGENERATE/SINGULAR PARABOLIC SYSTEMS
Hajjaj, Abdelkarim
Maniar, Lahcen
Salhi, Jawad
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[6] Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations
Fragnelli, Genni
Mugnai, Dimitri
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 242 (1146) : 1 - +
[7] Non-Autonomous Degenerate Parabolic Equations with Robin Boundary Conditions: Carleman Estimates and Null-Controllability
Akil, Mohammad
Fragnelli, Genni
Ismail, Sarah
APPLIED MATHEMATICS AND OPTIMIZATION, 2025, 91 (02):
[8] Carleman estimates and null controllability for boundary-degenerate parabolic operators
Cannarsa, Piermarco
Martinez, Partick
Vancostenoble, Judith
COMPTES RENDUS MATHEMATIQUE, 2009, 347 (3-4) : 147 - 152
[9] Carleman estimates and null controllability of a class of singular parabolic equations
Du, Runmei
Eichhorn, Jurgen
Liu, Qiang
Wang, Chunpeng
ADVANCES IN NONLINEAR ANALYSIS, 2019, 8 (01) : 1057 - 1082
[10] Null Approximate Impulse Controllability for a Degenerate Parabolic Equation in Non Divergence Form with Drift
Allal, Brahim
Maniar, Lahcen
Ouelddris, Ilham
Salhi, Jawad
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2025, 31 (01)

← 1 2 3 4 5 →