Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential
Analysis of PDEs
2018-04-04 v1
Abstract
We study strong instability (instability by blowup) of standing wave solutions for a nonlinear Schr\"odinger equation with an attractive delta potential and -supercritical power nonlinearity in one space dimension. We also compare our sufficient condition on strong instability with some known results on orbital instability.
Keywords
Cite
@article{arxiv.1411.2620,
title = {Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential},
author = {Masahito Ohta and Takahiro Yamaguchi},
journal= {arXiv preprint arXiv:1411.2620},
year = {2018}
}
Comments
15 pages, 3 figures