PARTIAL REGULARITY FOR 2-DIMENSIONAL LANDAU-LIFSHITZ EQUATIONS

Citation
Ym. Chen et al., PARTIAL REGULARITY FOR 2-DIMENSIONAL LANDAU-LIFSHITZ EQUATIONS, Acta Mathematica Sinica, New Series, 14(3), 1998, pp. 423-432
Citations number
15
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Acta Mathematica Sinica, New Series
ISSN journal
10009574 → ACNP
Volume
14
Issue
3
Year of publication
1998
Pages
423 - 432
Database
ISI
SICI code
1000-9574(1998)14:3<423:PRF2LE>2.0.ZU;2-T
Abstract
It is proved that any weak solution to the initial value problem of tw o dimensional Landau-Lifshitz equation is unique and is smooth with th e exception of at most finitely many points, provided that the weak so lution has finite energy.