Global well-posedness for the Kawahara equation with low regularity data
Analysis of PDEs
2012-03-01 v1
Abstract
We consider the global well-posedness for the Cauchy probelem of the Kawahara equation which is one of the fifth order KdV type equations. We first establish the local well-posedness in a more suitable function space for the global well-posedness by a variant of the Fourier restriction norm method. Next, we extend local solutions globally in time by the I-method. In this paper, we apply the I-method to the modified Bourgain space.
Keywords
Cite
@article{arxiv.1202.6443,
title = {Global well-posedness for the Kawahara equation with low regularity data},
author = {Takamori Kato},
journal= {arXiv preprint arXiv:1202.6443},
year = {2012}
}