Abstract
It is proved that any weak solution to the initial value problem of two dimensional Landau-Lifshitz equation is unique and is smooth with the exception of at most finitely many points, provided that the weak solution has finite energy.
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Yunmei, C., Shijin, D. & Boling, G. Partial regularity for two dimensional Landau-Lifshitz equations. Acta Mathematica Sinica 14, 423–432 (1998). https://doi.org/10.1007/BF02580447
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DOI: https://doi.org/10.1007/BF02580447