On the derivative nonlinear Schr{\"o}dinger equation on the half line with Robin boundary condition
Analysis of PDEs
2021-02-24 v3
Abstract
We consider the Schr\"odinger equation with nonlinear derivative term on under Robin boundary condition at . Using a virial argument, we obtain the existence of blowing up solutions and using variational techniques, we obtain stability and instability by blow up results for standing waves.
Keywords
Cite
@article{arxiv.2102.00727,
title = {On the derivative nonlinear Schr{\"o}dinger equation on the half line with Robin boundary condition},
author = {Phan van Tin},
journal= {arXiv preprint arXiv:2102.00727},
year = {2021}
}