Scattering for the focusing, $L^2$-supercritical fourth-order NLS in one dimension
Analysis of PDEs
2023-06-22 v1
Abstract
In this paper, we consider the fourth-order Schr\"odinger equations with focusing, -supercritical nonlinearity in one dimension. We prove the global existence and scattering of solutions below the ground state threshold under the evenness assumption. This results extends to the result by Guo and Dinh in higher dimensions under the radial assumption.
Keywords
Cite
@article{arxiv.2306.12068,
title = {Scattering for the focusing, $L^2$-supercritical fourth-order NLS in one dimension},
author = {Koichi Komada and Satoshi Masaki},
journal= {arXiv preprint arXiv:2306.12068},
year = {2023}
}