Geodesic
Unique continuation principle for high order equations of Korteweg-de Vries type
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35Q53, 37K05
Keywords: nonlinear dispersive equations, unique continuation, estimates of Carleman type 
@article{EJDE_2013__2013__a193,
     author = {Isaza, Pedro},
     title = {Unique continuation principle for high order equations of {Korteweg-de} {Vries} type},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a193/}
}
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Isaza, Pedro. Unique continuation principle for high order equations of Korteweg-de Vries type. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a193/