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Partial regularity for two dimensional Landau-Lifshitz equations |
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| Authors: | Chen Yunmei Ding Shijin Guo Boling |
| Institution: | (1) Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA;(2) Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088 Beijing, China |
| 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. |
| Keywords: | Landau-Lifshitz equation Nonlinear parabolic equations Uniqueness Regularity Hodge decomposition |
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