Global regular solutions for Landau-Lifshitz equation

Research Article

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.

Keywords

Landau-Lifshitz equation global regular solution 

MSC

35Q35 

Copyright information

© Higher Education Press and Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute of Applied Physics and Computational MathematicsNonlinear Center for StudiesBeijingChina

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