Partial regularity for the Landau-Lifshitz equation in small dimensions

revised version: April 2002
Roger Moser
(Please use for correspondence this email).

Submission date: 06. Mar. 2002
Pages: 12
MSC-Numbers: 35K55, 35D10
Keywords and phrases: landau-lifshitz equation, regularity
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Abstract:
We show that in 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.