Small data blow-up of L^{2}-solution for the nonlinear Schr\"odinger equation without gauge invariance
Analysis of PDEs
2012-09-26 v3
Abstract
We study the initial value problem for the nonlinear Schr\"odinger equation. We will prove that the blow-up of the L^{2}-norm of solutions with suitable initial data. We impose a condition related to the sign of the data but put no restriction on their size.
Keywords
Cite
@article{arxiv.1111.0178,
title = {Small data blow-up of L^{2}-solution for the nonlinear Schr\"odinger equation without gauge invariance},
author = {Masahiro Ikeda and Yuta Wakasugi},
journal= {arXiv preprint arXiv:1111.0178},
year = {2012}
}