Instability of bound states for abstract nonlinear Schr\"{o}dinger equations
Analysis of PDEs
2014-08-26 v2
Abstract
We study the instability of bound states for abstract nonlinear Schr\"{o}dinger equations. We prove a new instability result for a borderline case between stability and instability. We also reprove some known results in a unified way.
Cite
@article{arxiv.1010.1511,
title = {Instability of bound states for abstract nonlinear Schr\"{o}dinger equations},
author = {Masahito Ohta},
journal= {arXiv preprint arXiv:1010.1511},
year = {2014}
}
Comments
25 pages. Revisions are made mainly in Sections 1 and 8. Theorems 3-5 are renamed as Corollaries 2-4