Null controllability of a linear KdV equation on an interval with special boundary conditions

被引：0
|
作者：
Jean-Philippe Guilleron
机构：
[1] Université Pierre et Marie Curie-Paris 6,UMR 7598 Laboratoire Jacques
来源：
Mathematics of Control, Signals, and Systems | 2014年 / 26卷
关键词：
Control; Korteweg de-Vries equation; PDE; Carleman estimate; Observability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we deal with the null controllability of a linear Korteweg-de Vries equation with special boundary conditions. We first study the Cauchy problem and prove the existence and uniqueness of solutions in suitable spaces, and then prove the null controllability of this system by establishing an observability inequality which is proved with the help of a Carleman estimate.
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页码：375 / 401
页数：26
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