Frontiers of Mathematics in China

, 1:538

Global regular solutions for Landau-Lifshitz equation

Authors

  • Guo Boling 
    • Institute of Applied Physics and Computational MathematicsNonlinear Center for Studies
    • Institute of Applied Physics and Computational MathematicsNonlinear Center for Studies
Research Article

DOI: 10.1007/s11464-006-0027-5

Cite this article as:
Guo, B. & Han, Y. Front. Math. China (2006) 1: 538. doi:10.1007/s11464-006-0027-5

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 equationglobal regular solution

MSC

35Q35

Copyright information

© Higher Education Press and Springer-Verlag 2006