Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation

Stefan Steinerberger

Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation

Analysis of PDEs 2015-06-23 v2

Authors: Stefan Steinerberger

Abstract

We study dispersion for the defocusing gKdV equation. It is expected that it is not possible for the bulk of the $L^2-$ mass to concentrate in a small interval for a long time. We study a variance-type functional exploiting Tao's monotonicity formula in the spirit of earlier work by Tao as well as Kwon & Shao and quantify its growth in terms of sublevel estimates.

Cite

@article{arxiv.1305.0404,
  title  = {Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation},
  author = {Stefan Steinerberger},
  journal= {arXiv preprint arXiv:1305.0404},
  year   = {2015}
}

Comments

10 pages

Related papers

View all related →