Null controllability for a fourth order parabolic equation

被引：7
|
作者：
Yu Hang [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES | 2009年 / 52卷 / 11期
基金：
中国国家自然科学基金;
关键词：
fourth order parabolic equations; null controllability; Lebeau-Rabbiano inequality; BOUNDARY CONTROLLABILITY;
D O I：
10.1007/s11432-009-0203-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper, the null interior controllability for a fourth order parabolic equation is obtained. The method is based on Lebeau-Rabbiano inequality which is a quantitative unique continuation property for the sum of eigenfunctions of the Laplacian.
引用
收藏
页码：2127 / 2132
页数：6
相关论文
共 50 条
  • [41] The L∞-null controllability of parabolic equation with equivalued surface boundary conditions
    Lu, Qi
    Yin, Zhongqi
    ASYMPTOTIC ANALYSIS, 2013, 83 (04) : 355 - 378
  • [42] Null-controllability of a Hyperbolic Equation as Singular Limit of Parabolic Ones
    Micu, Sorin
    Ortega, Jaime H.
    Pazoto, Ademir F.
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2011, 17 (05) : 991 - 1007
  • [43] Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term
    Djomegne, Landry
    Kenne, Cyrille
    Dorville, Rene
    Zongo, Pascal
    OPTIMIZATION, 2024,
  • [44] Null-controllability of a Hyperbolic Equation as Singular Limit of Parabolic Ones
    Sorin Micu
    Jaime H. Ortega
    Ademir F. Pazoto
    Journal of Fourier Analysis and Applications, 2011, 17 : 991 - 1007
  • [45] The obstacle problem for a fourth order semilinear parabolic equation
    Okabe, Shinya
    Yoshizawa, Kensuke
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 198 (198)
  • [46] A curve flow evolved by a fourth order parabolic equation
    LIU YanNan1 & JIAN HuaiYu2 1 School of computer science and information engineering
    Science China Mathematics, 2009, (10) : 2177 - 2184
  • [47] Global attractor for a fourth-order parabolic equation
    Zhao, Xiaopeng
    Liu, Changchun
    Liu, Bo
    Journal of Information and Computational Science, 2010, 7 (08): : 1819 - 1825
  • [48] A curve flow evolved by a fourth order parabolic equation
    YanNan Liu
    HuaiYu Jian
    Science in China Series A: Mathematics, 2009, 52 : 2177 - 2184
  • [49] A fourth-order parabolic equation with a logarithmic nonlinearity
    Bonfoh, A
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 69 (01) : 35 - 48
  • [50] A curve flow evolved by a fourth order parabolic equation
    Liu YanNan
    Jian HuaiYu
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (10): : 2177 - 2184
12345