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| RAPID EXACT CONTROLLABILITY OF THE WAVE EQUATION BY CONTROLS DISTRIBUTED ON A TIME-VARIANT SUBDOMAIN |
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Citation： |
LIU Kangsheng,YONG Jiongmin.RAPID EXACT CONTROLLABILITY OF THE WAVE EQUATION BY CONTROLS DISTRIBUTED ON A TIME-VARIANT SUBDOMAIN[J].Chinese Annals of Mathematics B,1999,20(1):65~67 |
| Page view： 1200
Net amount： 582 |
Authors： |
LIU Kangsheng; YONG Jiongmin |
Foundation： |
National Natural Science Foundation of China(No.79790130),
National Distinguished Youth Science Foundation of China (No.19725106), and the Natural Science Foundation |
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| Abstract： |
Consider the wave equation with distributed controls
supported on a subdomain, called control subdomain, which is allowed to be variant in time. For any prescribed time duration, the authors work out a scheme for changing the control subdomain such that the wave equation is exactly
controllable on this time duration, where the control subdomain at any time is allowed to have arbitrarily small measure and relatively simple shape. |
Keywords： |
Rapid exact controllability, Wave equation,
Control subdomain,Unique continuation |
Classification： |
93B05, 35L05 |
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