Bl. Guo et Sj. Ding, INITIAL-BOUNDARY VALUE-PROBLEM FOR THE LANDAU-LIFSHITZ SYSTEM (I) - EXISTENCE AND PARTIAL REGULARITY, Progress in Natural Science, 8(1), 1998, pp. 11-23
The initial boundary value problem for the Landau-Lifshitz system of f
erromagnetic spin chain with Gilbert damping in two dimensions is stud
ied. The existence and partial regularity are proved by detailed analy
ses on the asymptotics for a penalty problem.