Threshold even solutions to the nonlinear Schr\"{o}dinger equation with delta potential at high frequencies
Analysis of PDEs
2022-11-29 v1
Abstract
We consider the nonlinear Schr\"{o}dinger equation with a repulsive Dirac delta potential in one dimensional Euclidean space. We classify the global dynamics of even solutions with the same action as the high-frequency ground state standing wave solutions.
Keywords
Cite
@article{arxiv.2211.15591,
title = {Threshold even solutions to the nonlinear Schr\"{o}dinger equation with delta potential at high frequencies},
author = {Stephen Gustafson and Takahisa Inui},
journal= {arXiv preprint arXiv:2211.15591},
year = {2022}
}