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...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.展开更多
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)
文摘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.
