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.
Citation
Boling Guo. Xueke Pu. "Stochastic Landau-Lifshitz equation." Differential Integral Equations 22 (3/4) 251 - 274, March/April 2009. https://doi.org/10.57262/die/1356019773
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