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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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