RECENT RESULTS ON THE CONTROLLABILITY OF LINEAR COUPLED PARABOLIC PROBLEMS: A SURVEY
RECENT RESULTS ON THE CONTROLLABILITY OF LINEAR COUPLED PARABOLIC PROBLEMS: A SURVEY
复制标题
DOI：
10.3934/mcrf.2011.1.267
复制
发表时间：
2011-09
影响因子：
1.2
通讯作者：
F. Ammar-Khodja;A. Benabdallah;Manuel González-Burgos;L. Teresa
中科院分区：
文献类型：
--
作者：
F. Ammar-Khodja;A. Benabdallah;Manuel González-Burgos;L. Teresa
本文综述了（几类）抛物型方程组能控性的最新结果。重点放在扩展的卡尔曼秩条件（有限维系统的微分方程）抛物型系统。这个问题本身与系统的全球Carleman估计的证明有关，并导致了广泛的开放问题。
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of differential equations) to parabolic systems. This question is itself tied with the proof of global Carleman estimates for systems and leads to a wide field of open problems.