## Differential and Integral Equations

### Unique continuation property for the KP-BBM-II equation

Youcef Mammeri

#### Abstract

We prove, by using a method introduced by Constantin [6], that if the solution of the Cauchy problem associated with the KP-BBM-II equation has compact support for all times, then this solution vanishes identically. The only restriction is that the support in the $y$-direction has to be small.

#### Article information

Source
Differential Integral Equations, Volume 22, Number 3/4 (2009), 393-399.

Dates
First available in Project Euclid: 20 December 2012