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

Luis Escauriaza; Carlos E. Kenig; Gustavo Ponce; Luis Vega

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

Analysis of PDEs 2007-05-23 v1

Authors: Luis Escauriaza , Carlos E. Kenig , Gustavo Ponce , Luis Vega

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 $u_1\equiv u_2$ .

Keywords

k-generalized KdV equation uniqueness of solutions difference of solutions sufficient conditions

Cite

@article{arxiv.math/0601621,
  title  = {On uniqueness properties of solutions of the k-generalized KdV equations},
  author = {Luis Escauriaza and Carlos E. Kenig and Gustavo Ponce and Luis Vega},
  journal= {arXiv preprint arXiv:math/0601621},
  year   = {2007}
}

Related papers

View all related →