On the Cauchy problem for higher-order nonlinear dispersive equations
Analysis of PDEs
2007-08-29 v1
Abstract
We study a class of higher-order KdV equations. We show that the associated initial value problem is well posed in weighted Besov and Sobolev spaces for small initial data. We also prove ill-posedness results when in H^s(\R), for any real s.
Cite
@article{arxiv.0708.3676,
title = {On the Cauchy problem for higher-order nonlinear dispersive equations},
author = {Didier Pilod},
journal= {arXiv preprint arXiv:0708.3676},
year = {2007}
}
Comments
27 pages