TY - GEN A1 - Melcher, Christof T1 - A dual approach to regularity in thin film micromagnetics N2 - 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. Y1 - 2006 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/319 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3196 ER -