## Differential and Integral Equations

### Stochastic Landau-Lifshitz equation

#### Abstract

In this paper, we establish the existence of global weak solutions to the stochastic Landau-Lifshitz equation in $\mathbb R^d$ for any $d > 0$. When restricted to the real line $\mathbb R^1$, we show that the Cauchy problem of this equation admits a unique global smooth solution with the difference method.

#### Article information

Source
Differential Integral Equations, Volume 22, Number 3/4 (2009), 251-274.

Dates
First available in Project Euclid: 20 December 2012