Sharp global well-posedness for a higher order Schr\"odinger equation
Analysis of PDEs
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
Using the theory of almost conserved energies and the ``I-method'' developed by Colliander, Keel, Staffilani, Takaoka and Tao, we prove that the initial value problem for a higher order Schr\"odinger equation is globally well-posed in Sobolev spaces of order .
Keywords
Cite
@article{arxiv.math/0504568,
title = {Sharp global well-posedness for a higher order Schr\"odinger equation},
author = {Xavier Carvajal},
journal= {arXiv preprint arXiv:math/0504568},
year = {2007}
}