BOUNDARY CONTROLLABILITY PROBLEMS FOR THE WAVE-EQUATION IN A PARALLELEPIPED

被引:2
|
作者
AVDONIN, S [1 ]
IVANOV, SA [1 ]
机构
[1] ST PETERSBURG STATE UNIV,INST MATH & MECH,ST PETERSBURG 198904,RUSSIA
关键词
BOUNDARY CONTROLLABILITY; WAVE EQUATION;
D O I
10.1016/0893-9659(95)00019-M
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The wave equation in an N-dimensional parallelepiped with boundary control equal zero everywhere except of an edge of dimension N - 2 is considered. The other case which is investigated is the boundary control acting on a face of dimension N - 1 and depending on N - 1 independent variables (including t). It is proved that, in both cases, the system is not approximately controllable for any T > 0.
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页码:97 / 102
页数:6
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