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Two Dimensional Landau-Lifshitz Equation
Authors:Yunmei Chen &  Boling Guo
Abstract:In this paper, we consider the Cauchy problem for two dimensional Landau-Lifshitz equation on 2-dimenslonal Riemannian manifold M without boundary. We proved that if u: M × R_+ → S², is a weak solution, then u is unique and smooth on M × R_+ with the exception of finitely many points.
Keywords:Two dimensional Landau-Lifshitz equation almost smooth
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