## Differential and Integral Equations

### The stochastic derivative nonlinear Schrödinger equation

Sijia Zhong

#### 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.

#### Article information

Source
Differential Integral Equations, Volume 30, Number 1/2 (2017), 81-100.

Dates
First available in Project Euclid: 20 January 2017

https://projecteuclid.org/euclid.die/1484881220

Mathematical Reviews number (MathSciNet)
MR3599796

Zentralblatt MATH identifier
06738542

#### Citation

Zhong, Sijia. The stochastic derivative nonlinear Schrödinger equation. Differential Integral Equations 30 (2017), no. 1/2, 81--100. https://projecteuclid.org/euclid.die/1484881220