The nonlinear Schr\"odinger equation with sprinkled nonlinearity
Analysis of PDEs
2025-09-11 v3
Abstract
We prove global well-posedness for the cubic nonlinear Schr\"odinger equation with nonlinearity concentrated on a homogeneous Poisson process.
Keywords
Cite
@article{arxiv.2405.01246,
title = {The nonlinear Schr\"odinger equation with sprinkled nonlinearity},
author = {Benjamin Harrop-Griffiths and Rowan Killip and Monica Visan},
journal= {arXiv preprint arXiv:2405.01246},
year = {2025}
}
Comments
27 pages