Global existence for the defocusing nonlinear Schr\"odinger equations with limit periodic initial data
Analysis of PDEs
2015-02-10 v1
Abstract
We consider the Cauchy problem for the defocusing nonlinear Schr\"odinger equations (NLS) on the real line with a special subclass of almost periodic functions as initial data. In particular, we prove global existence of solutions to NLS with limit periodic functions as initial data under some regularity assumption.
Cite
@article{arxiv.1502.02258,
title = {Global existence for the defocusing nonlinear Schr\"odinger equations with limit periodic initial data},
author = {Tadahiro Oh},
journal= {arXiv preprint arXiv:1502.02258},
year = {2015}
}
Comments
22 pages, to appear in a special issue of Commun. Pure Appl. Anal