Control and stabilization of the Korteweg-de Vries equation: recent progresses

被引:0
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作者
Lionel Rosier
Bing-Yu Zhang
机构
[1] Institut Élie Cartan,Department of Mathematical Sciences
[2] UMR 7502 UHP/CNRS/INRIA,undefined
[3] University of Cincinnati,undefined
关键词
Exact controllability; Korteweg-de Vries equation; smoothing property; stabilizability; unique continuation;
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学科分类号
摘要
The study of the control and stabilization of the KdV equation began with the work of Russell and Zhang in late 1980s. Both exact control and stabilization problems have been intensively studied since then and significant progresses have been made due to many people's hard work and contributions. In this article, the authors intend to give an overall review of the results obtained so far in the study but with an emphasis on its recent progresses. A list of open problems is also provided for further investigation.
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页码:647 / 682
页数:35
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