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

作者：Chen, Mo^*; Gao, Peng

来源：Bulletin of the Australian Mathematical Society, 2014, 90(1): 90-98.

DOI：10.1017/S000497271300110X

• Korteweg-de Vries equation
• unique continuation property
• Carleman estimate

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.

• 出版日期2014-8
• 单位吉林大学