Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 4: 538 - 568

DOI: https://doi.org/10.1007/s11464-006-0027-5

Global regular solutions for Landau-Lifshitz equation

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  • Institute of Applied Physics and Computational Mathematics, Nonlinear Center for Studies, P. O. Box 8009, Beijing 100088, China

Published date: 05 Dec 2006

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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 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.

Cite this article

GUO Boling, HAN Yongqian . Global regular solutions for Landau-Lifshitz equation[J]. Frontiers of Mathematics in China, 2006 , 1(4) : 538 -568 . DOI: 10.1007/s11464-006-0027-5

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