Exact Controllability for the Fourth Order Schrdinger Equation  

作　　者：Chuang ZHENG Zhongcheng ZHOU 

机构地区：[1]Laboratory of Mathematics and Complex Systems,School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China [2]Department of Mathematics and Statistics,Southwest University,Chongqing 400715,China

出　　处：《Chinese Annals of Mathematics,Series B》2012年第3期395-404,共10页数学年刊（B辑英文版）

基　　金：supported by the Fundamental Research Funds for the Central Universities (No. XDJK2009C099);the National Natural Science Foundation of China (Nos. 11001018,11026111);the Specialized Research Fund for the Doctoral Program of Higher Education (No. 201000032006)

摘　　要：The boundary controllability of the fourth order Schr5dinger equation in a bounded domain is studied. By means of an L2-Neumann boundary control, the authors prove that the solution is exactly controllable in H-2（12） for an arbitrarily small time. The method of proof combines both the HUM （Hilbert Uniqueness Method） and multiplier techniques.

关 键 词：Fourth order Schroedinger equation HUM method CONTROLLABILITY MULTIPLIER 

分 类 号：O122.2[理学—数学] O175.8[理学—基础数学]