Smooth solution to the one-dimensional inhomogeneous non-automorphic Landau–Lifshitz equation
2006 ◽
Vol 462
(2072)
◽
pp. 2397-2413
◽
Keyword(s):
Using the differential–difference method and viscosity vanishing approach, we obtain the existence and uniqueness of the global smooth solution to the periodic initial-value problem of the inhomogeneous, non-automorphic Landau–Lifshitz equation without Gilbert damping terms in one dimension. To establish the uniform estimates, we use some identities resulting from the fact and the fact that the vectors form an orthogonal base of the space .
2005 ◽
Vol 50
(8-9)
◽
pp. 1345-1362
◽
1982 ◽
Vol 52
(1)
◽
pp. 619-626
Keyword(s):
2020 ◽
Vol 28
(1)
◽
pp. 137-144
◽
1986 ◽
Vol 27
(2)
◽
pp. 645-649
◽
2013 ◽
Vol 785-786
◽
pp. 1418-1422
Keyword(s):