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A dual approach to regularity in thin film micromagnetics

Please always quote using this URN:urn:nbn:de:0296-matheon-3196
  • We prove an optimal regularity result in the two dimensional theory of soft ferromagnetic films. The associate Euler-Lagrange equation is given by a microlocally degenerate variational inequality involving fractional derivatives. A difference quotient type argument based on a dual formulation in terms of magnetostatic potentials yields a H\"older estimate for the uniquely determined gradient projection of the magnetization field.

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Metadaten
Author:Christof Melcher
URN:urn:nbn:de:0296-matheon-3196
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2006/04/20
Release Date:2006/01/20
Preprint Number:322
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