Orbital stability of standing waves for supercritical NLS with potential on graphs
Analysis of PDEs
2018-10-15 v1
Abstract
In this paper we study the existence and stability of normalized standing waves for the nonlinear Schr\"odinger equation on a general starlike graph with potentials. Under general assumptions on the graph and the potential, we show the existence of orbitally stable standing waves when the nonlinearity is -critical and supercritical.
Keywords
Cite
@article{arxiv.1810.05344,
title = {Orbital stability of standing waves for supercritical NLS with potential on graphs},
author = {Alex H. Ardila},
journal= {arXiv preprint arXiv:1810.05344},
year = {2018}
}