Geodesic
Unique continuation principle for high order equations of Korteweg-de Vries type
Electronic journal of differential equations, Tome 2013 (2013)
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__a93,
     author = {Isaza,  Pedro},
     title = {Unique continuation principle for high order equations of {Korteweg-de} {Vries} type},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.35420},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a93/}
}
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JO  - Electronic journal of differential equations
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%0 Journal Article
%A Isaza,  Pedro
%T Unique continuation principle for high order equations of Korteweg-de Vries type
%J Electronic journal of differential equations
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%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a93/
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%F EJDE_2013__2013__a93
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__a93/