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