Global regular solutions for Landau-Lifshitz equation |
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Authors: | Boling Guo Yongqian Han |
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Affiliation: | (1) Institute of Applied Physics and Computational Mathematics, Nonlinear Center for Studies, P. O. Box 8009, Beijing, 100088, China |
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Abstract: | In this note, we prove that there exists a unique global regular solution for multidimensional Landau-Lifshitz equation if the gradient of solutions can be bounded in space L 2(0, T; L ∞). Moreover, for the two-dimensional radial symmetric Landau-Lifshitz equation with Neumann boundary condition in the exterior domain, this hypothesis in space L 2(0, T; L ∞) can be cancelled. |
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Keywords: | Landau-Lifshitz equation global regular solution |
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