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

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.Comment: Minor typos corrected on page 1