Regular solutions for Landau-Lifschitz equation in a bounded domain.
Carbou, Gilles ; Fabrie, Pierre
HAL, hal-00296710 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-04
Classification:  [MATH]Mathematics [math],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00296710,
     author = {Carbou, Gilles and Fabrie, Pierre},
     title = {Regular solutions for Landau-Lifschitz equation in a bounded domain.},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00296710}
}

Carbou, Gilles; Fabrie, Pierre. Regular solutions for Landau-Lifschitz equation in a bounded domain.. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00296710/