English

Unique continuation principle for high order equations of Korteweg-de Vries type

Analysis of PDEs 2013-09-04 v2

Abstract

In this article we consider the problem of unique continuation for a class of high order equations of Korteweg-de Vries type which include the kdV hierachy. 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.

Keywords

Cite

@article{arxiv.1308.4739,
  title  = {Unique continuation principle for high order equations of Korteweg-de Vries type},
  author = {Pedro Isaza},
  journal= {arXiv preprint arXiv:1308.4739},
  year   = {2013}
}

Comments

Minor typos corrected on page 14