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

Luis Escauriaza·Carlos E. Kenig·Gustavo Ponce·Luis Vega
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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 $u_1-u_2$ 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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Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce, Luis Vega. 2006-01-25. On uniqueness properties of solutions of the k-generalized KdV equations. https://arxiv.org/abs/math/0601621

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