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
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