期刊文献+

Null controllability for a fourth order parabolic equation

Null controllability for a fourth order parabolic equation
原文传递
导出
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.
作者 YU Hang
出处 《Science in China(Series F)》 2009年第11期2127-2132,共6页 中国科学(F辑英文版)
基金 Supported by the National Natural Science Foundation of China (Grant Nos. 10671040, 10831007, 10801041) the National Excellent Doctoral Dissertation of China (Grant No. 200522) the New Century Excellent Talents in University (Grant No. 06-0359)
关键词 fourth order parabolic equations null controllability Lebeau-Rabbiano inequality fourth order parabolic equations, null controllability, Lebeau-Rabbiano inequality
  • 相关文献

参考文献13

  • 1King B B, Stein O, Winkler M. A fourth order parabolic equation modeling epitaxial thin film growth. J Math Anal Appl, 2003, 286:459-490. 被引量:1
  • 2Fattorni H O. Boundary control systems. SIAM J Contr, 1968, 6:349-388. 被引量:1
  • 3Fattorini H O, Russell D L. Exact controllability theorems for linear parabolic equations in one space dimension. Arch Rational Mech Anal, 1971, 43:272- 292. 被引量:1
  • 4Lions J L. Exact controllability, stabilization, and perturbations for distributed systems. SIAM Rev, 1988, 30:1-68. 被引量:1
  • 5Fursikov A V, Imanuvilov O Y. Controllability of evolution Equations. Lecture Notes Series # 34. Research Institute of Mathematics, Global Analysis Research Center, Seoul National University, 1996. 被引量:1
  • 6Fernandez-Cara E, Zuazua E. The cost of approximate controllability for heat equations: the linear case. Adv Differ Equ, 2000, 5:465-514. 被引量:1
  • 7Imanuvilov O Y. Controllability of parabolic equations, Sbornik: Mathematics, 1995, 186(6): 879-900. 被引量:1
  • 8Guo Y -J L. Null boundary controllability for a fourth order parabolic equation. Taiwan Residents J Math, 2002, 6(3): 421-431. 被引量:1
  • 9Guo Y -J L. Littman W. Null boundary controllability for semilinear heat equations. Appl Math Optim, 1995, 32(3): 281-316. 被引量:1
  • 10Lebeau G, Robbiano L. Controle exact de l'equation de la chaleur. Comm P D E, 1995, 20:335-356. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部