Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains

被引：5
|
作者：
Gallego, F. A. [1 ]
机构：
[1] Univ Nacl Colombia, Dept Matemat, UNAL, Cra 27 64-60, Manizales 170003, Colombia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 01期
关键词：
KdV-B equation; Controllability; Carleman estimate; Unbounded domain; NULL-CONTROLLABILITY; HEAT-EQUATION; BOUNDARY CONTROL; KDV EQUATION; STABILIZATION;
D O I：
10.1016/j.jmaa.2017.12.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to consider the controllability problem of the linear system associated to Korteweg-de Vries Burgers equation posed in the whole real line. We obtain a sort of exact controllability for solutions in L-loc(2)(R-2) by deriving an internal observability inequality and a Global Carleman estimate. Following the ideas contained in [25], the problem is reduced to prove an approximate theorem. (C) 2017 Elsevier Inc. All rights reserved.
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页码：947 / 970
页数：24
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