Volume no :1, Issue no: 3, December 2008

Journal of Mathematical Sciences: Advances and Applications

NEW GLOBAL WELL-POSEDNESS RESULT FOR A HIGHER ORDER SCHRÖDINGER EQUATION

Author's: Xavier Carvajal and Raul Prado
Pages: [457] - [476]
Received Date: April 26, 2008
Submitted by:

Abstract

We establish new global results for a higher order Schrödinger equation. We show that solutions of the equation can be extended globally in Sobolev spaces of order the method was introduced by Bourgain [1] and used in several models.

Keywords

Schrödinger equation, Korteweg-de Vries equation, global well-posed, linear estimates.