Singularities of solutions to nonlinear Schr\"odinger equations
Analysis of PDEs
2024-10-10 v1
Abstract
We study the wave front set of the solutions of the initial value problem for nonlinear Schr\"{o}dinger equations via wave packet transform. We give an sufficient condition which assures that the solutions is in Sobolev space of order s in a given direction at a given time.
Cite
@article{arxiv.2410.06776,
title = {Singularities of solutions to nonlinear Schr\"odinger equations},
author = {Fumihito Abe and Keiichi Kato},
journal= {arXiv preprint arXiv:2410.06776},
year = {2024}
}
Comments
14 pages