Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 141, pp. 1-9.

Title: Regularity of weak solutions to the
       Landau-Lifshitz system in bounded regular domains

Author: Kevin Santugini-Repiquet (Univ. Bordeaux 1, France)

Abstract: 
 In this paper, we study the regularity, on the boundary,
 of weak solutions to the Landau-Lifshitz system in the
 framework of the micromagnetic model in the quasi-static
 approximation. We establish the existence of
 global weak solutions to the Landau-Lifshitz system
 whose tangential space gradient on the boundary is 
 square integrable.

Submitted  July 18, 2005. Published October 24, 2007.
Math Subject Classifications: 35D10, 35K55, 35K60.
Key Words: Micromagnetism; Landau-Lifshitz equation; weak solutions;
           boundary regularity.