$\mathbb{R}$ 上随机散焦质量临界非线性薛定谔方程的亚临界逼近
偏微分方程分析
2018-10-23 v1 概率论
摘要
我们证明了在维数 下，对随机散焦质量临界非线性薛定谔方程（NLS）的各种截断与亚临界逼近具有鲁棒性，其解在 [FX18] 中通过其中一种特定逼近构造得到。证明中的关键要素是确定性质量亚临界散焦 NLS 一族方程解的一致界。
关键词
引用
@article{arxiv.1810.09407,
title = {Subcritical approximations to stochastic defocusing mass-critical nonlinear Schr\"odinger equation on $\mathbb{R}$},
author = {Chenjie Fan and Weijun Xu},
journal= {arXiv preprint arXiv:1810.09407},
year = {2018}
}
备注
23 pages. The material of this article is contained in arXiv:1807.04402. The other part of arXiv:1807.04402 has been combined with arXiv:1803.03257 to form another new article arXiv:1810.07925. Only the current paper and arXiv:1810.07925 will be submitted for journal publication