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

Abstract

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 u1-u2 of two solutions u1, u2 of the equation at two different times t0=0 and t1=1 which guarantee that u1 u2.

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