Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $$\mathbb {T}^d$$ T d , $$d\ge 3$$ d ≥ 3,Stochastics and Partial Differential Equations: Analysis and Computations

当前位置： X-MOL 学术 › Stoch. PDE Anal. Comp. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $$\mathbb {T}^d$$ T d , $$d\ge 3$$ d ≥ 3
Stochastics and Partial Differential Equations: Analysis and Computations ( IF 1.4 ) Pub Date : 2020-10-11 , DOI: 10.1007/s40072-020-00183-6
Haitian Yue

In this paper we prove almost sure local (in time) well-posedness in both adapted atomic spaces and Fourier restriction spaces for the periodic cubic nonlinear Schrödinger equation on $\mathbb {T}^d$ ($d\ge 3$) in the super-critical regime.

中文翻译：