On uniqueness properties of solutions of the k-generalized KdV equations

Details On uniqueness properties of solutions of the k-generalized KdV equations On uniqueness properties of solutions of the k-generalized KdV equations

2006-01-25

arxiv.org/abs/math/0601621v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we study uniqueness properties of solutions of the
k-generalized Korteweg-de Vries equation.
Our goal is to obtain sufficient conditions on the behavior of the difference
$u_1-u_2$ of two solutions $u_1, u_2$ of the equation at two different times
$t_0=0$ and $t_1=1$ which guarantee that $u_1\equiv u_2$.

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