Local and global well-posedness of 2d periodic multiplicative stochastic NLS
Analysis of PDEs
2025-10-01 v7 Probability
Abstract
We use Strichartz estimates with rough potentials like the spatial white noise on the 2 \ dimensional torus to prove global well-posedness of the multiplicative stochastic NLS with general integer powers in both the energy and strong regime together with controls over the growth of the norms of the solutions.
Keywords
Cite
@article{arxiv.1911.01982,
title = {Local and global well-posedness of 2d periodic multiplicative stochastic NLS},
author = {Immanuel Zachhuber},
journal= {arXiv preprint arXiv:1911.01982},
year = {2025}
}
Comments
41 pages. Major rewrite with fixed proofs and new results on global well-posedness. Changed title in light of this