Global regular solutions for Landau-Lifshitz equation
- Cite this article as:
- Guo, B. & Han, Y. Front. Math. China (2006) 1: 538. doi:10.1007/s11464-006-0027-5
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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 L2(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 L2(0, T; L∞) can be cancelled.