Differential and Integral Equations

Stochastic Landau-Lifshitz equation

Boling Guo and Xueke Pu

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019773

Mathematical Reviews number (MathSciNet)
MR2492820

Zentralblatt MATH identifier
1240.60185

Subjects
Primary: 60H15: Stochastic partial differential equations [See also 35R60] 35Qxx: Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05]

Citation

Guo, Boling; Pu, Xueke. Stochastic Landau-Lifshitz equation. Differential Integral Equations 22 (2009), no. 3/4, 251--274. https://projecteuclid.org/euclid.die/1356019773


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