Dispersive Stabilization
Analysis of PDEs
2014-02-26 v1
Abstract
Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispersive terms. This is a stability analog of the Turing instability. This idea applies to systems of quasilinear Schr\"odinger equations from nonlinear optics.
Cite
@article{arxiv.0903.2167,
title = {Dispersive Stabilization},
author = {Guy Metivier and Jeffrey Rauch},
journal= {arXiv preprint arXiv:0903.2167},
year = {2014}
}