Electron. J. Diff. Equ., Vol. 2013 (2013), No. 246, pp. 1-25.

Unique continuation principle for high order equations of Korteweg-de Vries type

Pedro Isaza

In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy. It is proved that if the difference w of two solutions of an equation of this form has certain exponential decay for x >0 at two different times, then w is identically zero.

Submitted July 21, 2013. Published November 13, 2013.
Math Subject Classifications: 35Q53, 37K05.
Key Words: Nonlinear dispersive equations; unique continuation; estimates of Carleman type.

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Pedro Isaza J.
Departamento de Matemáticas
Universidad Nacional de Colombia
A. A. 3840 Medellíin, Colombia
email: pisaza@unal.edu.co

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