Regular solutions for Landau-Lifschitz equation in $\Bbb R\sp 3$

Gilles Carbou (1) , Pierre Fabrie (1)

1 IMB - Institut de Mathématiques de Bordeaux

In this paper we prove local existence, global existence with small data and uniqueness of regular solutions for Landau-Lifschitz equations. Furthermore we establish local existence and uniqueness for a system coupling Maxwell and Landau-Lifschitz equations arising from Micromagnetism theory.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Gilles Carbou, Pierre Fabrie. Regular solutions for Landau-Lifschitz equation in $\Bbb R\sp 3$. Communications in Applied Analysis, 2001, 5 (1), pp.17-30. ⟨hal-00296709⟩