Null controllability of degenerate parabolic operators with drift

被引：75
|
作者：
Cannarsa, Piermarco [1 ]
Fragnelli, Genni [2 ]
Rocchetti, Dario [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Siena, Dipartimento Ingn Informaz, I-53100 Siena, Italy
来源：
NETWORKS AND HETEROGENEOUS MEDIA | 2007年 / 2卷 / 04期
关键词：
degenerate parabolic equations; null controllability; Carleman estimates; Hardy type inequality;
D O I：
10.3934/nhm.2007.2.695
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give null controllability results for some degenerate parabolic equations in non divergence form with a drift term in one space dimension. In particular, the coefficient of the second order term may degenerate at the extreme points of the space domain. For this purpose, we obtain an observability inequality for the adjoint problem using suitable Carleman estimates.
引用
收藏
页码：695 / 715
页数：21
相关论文
共 50 条
  • [1] 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
  • [2] 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
  • [3] 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
  • [4] 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)
  • [5] Null controllability of degenerate/singular parabolic equations
    M. Fotouhi
    L. Salimi
    Journal of Dynamical and Control Systems, 2012, 18 : 573 - 602
  • [6] Null controllability of degenerate/singular parabolic equations
    Fotouhi, M.
    Salimi, L.
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2012, 18 (04) : 573 - 602
  • [7] Null controllability of strongly degenerate parabolic equations
    Benoit, Antoine
    Loyer, Romain
    Rosier, Lionel
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2023, 29
  • [8] Null controllability of degenerate parabolic equation with memory
    Allal, Brahim
    Fragnelli, Genni
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9163 - 9190
  • [9] NULL CONTROLLABILITY OF DEGENERATE NONAUTONOMOUS PARABOLIC EQUATIONS
    Benaissa, Abbes
    Mezadek, Abdelatif Kainane
    Maniar, Lahcen
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (02): : 311 - 328
  • [10] Null controllability of degenerate parabolic cascade systems
    Ben Hassi, El Mustapha Ait
    Khodja, Farid Ammar
    Hajjaj, Abdelkarim
    Maniar, Lahcen
    PORTUGALIAE MATHEMATICA, 2011, 68 (03) : 345 - 367
12345