Asymptotic Stability of Solitons to Nonlinear Schrodinger Equations on Star Graphs
Analysis of PDEs
2015-09-21 v2
Abstract
In this paper, we prove the asymptotic stability of nonlinear Schrodiger equations on star graphs, which partially solves an open problem in D. Noja \cite{DN}. The essential ingredient of our proof is the dispersive estimate for the linearized operator around the soliton with Kirchhoff boundary condition. In order to obtain the dispersive estimates, we use the Born's series technique and scattering theory for the linearized operator.
Keywords
Cite
@article{arxiv.1503.06105,
title = {Asymptotic Stability of Solitons to Nonlinear Schrodinger Equations on Star Graphs},
author = {Ze Li and Lifeng Zhao},
journal= {arXiv preprint arXiv:1503.06105},
year = {2015}
}
Comments
2 figures, 33 pages