Near soliton dynamics and singularity formation for $L^2$ critical problems
Analysis of PDEs
2015-06-23 v1
Abstract
This survey reviews the state of the art concerning the singularity formation for two canonical dispersive problems: the mass critical non linear Schr\"odinger equation and the mass critical generalized KdV equation. In particular, we address the question of the classification of the flow for initial data near the soliton.
Keywords
Cite
@article{arxiv.1412.2375,
title = {Near soliton dynamics and singularity formation for $L^2$ critical problems},
author = {Yvan Martel and Frank Merle and Pierre Raphael and Jeremie Szeftel},
journal= {arXiv preprint arXiv:1412.2375},
year = {2015}
}