Large-time existence results for the nonlocal NLS around ground state solutions
Analysis of PDEs
2025-10-01 v2
Abstract
This paper discusses about solutions of the nonlocal nonlinear Schrodinger equation. We prove that the solution remains close to the orbit of the soliton for a large-time, if the initial data is close to the ground state solitons. The proof uses the hyperbolic dynamics near ground state, which exhibits properties of local structural stability of solutions with respect to the flows of the nonlocal nonlinear Schrodinger equation.
Keywords
Cite
@article{arxiv.2407.09784,
title = {Large-time existence results for the nonlocal NLS around ground state solutions},
author = {Hideo Takaoka and Toshihiro Tamaki},
journal= {arXiv preprint arXiv:2407.09784},
year = {2025}
}
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17 pages