CARLEMAN ESTIMATES AND UNIQUE CONTINUATION PROPERTY FOR 1-D VISCOUS CAMASSA-HOLM EQUATION

被引：4
|
作者：
Gao, Peng [1 ,2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 01期
关键词：
Viscous Camassa-Holm equation; strong solution; global Carleman estimate; Unique Continuation Property; GLOBAL WELL-POSEDNESS; EXACT CONTROLLABILITY; SCHRODINGER-EQUATIONS; NULL CONTROLLABILITY; KDV EQUATION; STABILIZATION; TRAJECTORIES; STABILITY;
D O I：
10.3934/dcds.2017007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to studying the 1-D viscous Camassa-Holm equation on a bounded interval. We first deduce the existence and uniqueness of strong solution to the viscous Camassa-Holm equation by using Galerkin method. Then we establish an identity for a second order parabolic operator, by applying this identity we obtain two global Carleman estimates for the linear viscous Camassa-Holm operator. Based on these estimates, we obtain two types of Unique Continuation Property for the viscous Camassa-Holm equation.
引用
收藏
页码：169 / 188
页数：20
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