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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.

Received:
Mar 6, 2002
Published:
Mar 6, 2002
MSC Codes:
35K55, 35D10
Keywords:
landau-lifshitz equation, regularity

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Preprint
2002 Repository Open Access
Roger Moser

Partial regularity for the Landau-Lifshitz equation in small dimensions