Global regular solutions for Landau-Lifshitz equation |
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| Authors: | Boling Guo Yongqian Han |
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| Institution: | (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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