Abstract
In this paper, we will use a gauge transform to prove the local existence and uniqueness of the derivative nonlinear Schrödinger equation with additive noise, showing that for the initial data $u_0\in H^\frac{1}{2}(\mathbb{R})$, there is a local and unique solution almost surely.
Citation
Sijia Zhong. "The stochastic derivative nonlinear Schrödinger equation." Differential Integral Equations 30 (1/2) 81 - 100, January/February 2017. https://doi.org/10.57262/die/1484881220