Global Well-Posedness for a Coupled Modified KdV System
Analysis of PDEs
2011-07-04 v2
Abstract
We prove the sharp global well-posedness results for the initial value problems (IVPs) associated to the modified Korteweg-de Vries (mKdV) equation and a system modeled by the coupled modified Korteweg-de Vries equations (mKdV-system). To obtain our results we use the second generation of the modified energy and almost conserved quantities, more precisely, the refined I-method introduced by Colliander, Keel, Staffilani, Takaoka and Tao.
Cite
@article{arxiv.1106.6289,
title = {Global Well-Posedness for a Coupled Modified KdV System},
author = {Adan J. Corcho and Mahendra Panthee},
journal= {arXiv preprint arXiv:1106.6289},
year = {2011}
}