Regular solutions for Landau-Lifschitz equation in a bounded domain.

Gilles Carbou (1) , Pierre Fabrie (1)

1 IMB - Institut de Mathématiques de Bordeaux

in this paper we prove local existence and uniqueness of regular solutions for a quasistatic model arising in micromagnetism theory. Moreover we show global existence of regular solutions for small data in the 2D case for the Landau-Lifschitz equation. These results extend those already obtained by the authors in the whole space.

Domains: Mathematics [math]; Analysis of PDEs [math.AP]

Gilles Carbou, Pierre Fabrie. Regular solutions for Landau-Lifschitz equation in a bounded domain.. Differential and integral equations, 2001, 14 (2), pp.213-229. ⟨hal-00296710⟩