A new unique continuation property for the Korteweg-de Vries equation

M. Chen, P. Gao

Abstract


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.

DOI:

10.1017/S000497271300110X



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Bulletin of the Aust. Math. Soc., copyright Australian Mathematical Publishing Association Inc.