Ill-posedness issues for nonlinear dispersive equations
Analysis of PDEs
2007-05-23 v2
Abstract
These notes are devoted to the notion of well-posedness of the Cauchy problem for nonlinear dispersive equations. We present recent methods for proving ill-posedness type results for dispersive PDE's. The common feature in the analysis is that the proof of such results requires the construction of high frequency approximate solutions on small time intervals (possibly depending on the frequency).
Cite
@article{arxiv.math/0411455,
title = {Ill-posedness issues for nonlinear dispersive equations},
author = {N. Tzvetkov},
journal= {arXiv preprint arXiv:math/0411455},
year = {2007}
}
Comments
Notes based on a course given at Hokkaido University in September 2004