Acta mathematica scientia,Series B ›› 1997, Vol. 17 ›› Issue (4): 429-436.

• Articles • Previous Articles     Next Articles

GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN

Guo Boling, Wang Bixiang   

  1. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China
  • Received:1995-09-10 Revised:1996-07-03 Online:1997-12-25 Published:1997-12-25
  • Supported by:
    The second author supported by the Postdoctoral Foundation of China.

Abstract: In this paper, we establish the global existence of the solution for the Landau-Lifshitz equation of the ferromagnetic spin chain. By Galerkin method, we first show the existence of the local solution for this equation, and then by a priori estimates method, we extend the local solution to a global solution.

Key words: Existence and uniqueness, local solution, global solution, Landau-Lifshitz equation

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