English

A note on the Fermi Golden Rule constant for the pure power NLS

Analysis of PDEs 2024-05-06 v1

Abstract

We provide a detailed proof that the Nonlinear Fermi Golden Rule coefficient that appears in our recent proof of the asymptotic stability of ground states for the pure power Nonlinear Schr\"odinger equations in R\mathbb{R} with exponent 0<p310<|p-3|\ll 1 is nonzero.

Keywords

Cite

@article{arxiv.2405.01922,
  title  = {A note on the Fermi Golden Rule constant for the pure power NLS},
  author = {Scipio Cuccagna and Masaya Maeda},
  journal= {arXiv preprint arXiv:2405.01922},
  year   = {2024}
}