A remark on global well-posedness below L^2 for the gKdV-3 equation
Analysis of PDEs
2007-07-19 v1
Abstract
The I-method in its first version as developed by Colliander et al. is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-3) is globally well-posed for large real-valued data in the Sobolev space H^s, provided s>-1/42.
Keywords
Cite
@article{arxiv.0707.2722,
title = {A remark on global well-posedness below L^2 for the gKdV-3 equation},
author = {Axel Gruenrock and Mahendra Panthee and Jorge Drumond Silva},
journal= {arXiv preprint arXiv:0707.2722},
year = {2007}
}
Comments
6 pages