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A NEW UNIQUE CONTINUATION PROPERTY FOR THE KORTEWEG–DE VRIES EQUATION

Part of: Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  10 January 2014

MO CHEN  and
PENG GAO
MO CHEN*
Affiliation:
Institute of Mathematics, Jilin University, Changchun 130012, PR China email gaopengjilindaxue@126.com
PENG GAO
Affiliation:
Institute of Mathematics, Jilin University, Changchun 130012, PR China email gaopengjilindaxue@126.com
*
✉chenmochenmo.good@163.com
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Abstract

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The aim of this paper is to obtain a new unique continuation property (UCP) for the Korteweg–de Vries equation posed on a finite interval. Compared with the previous UCP, we need fewer conditions on the solution. For this purpose, we have to establish a global Carleman estimate for the Korteweg–de Vries equation.

Keywords

Korteweg–de Vries equationunique continuation propertyCarleman estimate

MSC classification

Secondary: 35Q53: KdV-like equations (Korteweg-de Vries)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 1 , August 2014 , pp. 90 - 98
Copyright
Copyright ©2014 Australian Mathematical Publishing Association Inc. 

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