Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation

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dc.creatorBrzezniak, Z.
dc.creatorGoldys, B.
dc.date2008-12-31
dc.date.accessioned2026-07-07T12:23:39Z
dc.date.available2026-07-07T12:23:39Z
dc.descriptionThe Landau-Lifshitz-Gilbert equation perturbed by a multiplicative space-dependent noise is considered for a ferromagnet filling a bounded three-dimensional domain. We show the existence of weak martingale solutions taking values in a sphere $\mathbb S^2$. The regularity of weak solutions is also discussed. Some of the regularity results are new even for the deterministic Landau-Lifshitz-Gilbert equation.
dc.identifierhttps://arxiv.org/abs/0901.0039
dc.identifierhttp://arxiv.org/abs/0901.0039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214065
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject35Q40, 35K55, 60H15
dc.titleWeak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation
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