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MiS Preprint
26/2002
Partial regularity for the Landau-Lifshitz equation in small dimensions
Roger Moser
Abstract
We show that in $n \le 4$ space dimensions, weak solutions of the Landau-Lifshitz equation of the ferromagnetic spin chain are smooth in an open set with a complement of vanishing $n$-dimensional Hausdorff measure with respect to the parabolic metric.