Modified Scattering for the Hartree Nonlinear Schr\"odinger Equation
Analysis of PDEs
2024-07-29 v1
Abstract
We prove sharp decay and modified scattering for the Hartree nonlinear Schr\"odinger equation in dimensions and using the testing by wavepackets method of Ifrim and Tataru. We show that the scattering behavior happens at a regularity well below that of earlier results of Hayashi-Naumkin and Kato-Pusateri.
Cite
@article{arxiv.2407.18411,
title = {Modified Scattering for the Hartree Nonlinear Schr\"odinger Equation},
author = {Tim Van Hoose},
journal= {arXiv preprint arXiv:2407.18411},
year = {2024}
}
Comments
21 pages, comments welcome!