TY - JOUR
T1 - Two Dimensional Landau-Lifshitz Equation
JO - Journal of Partial Differential Equations
VL - 4
SP - 313
EP - 322
PY - 1996
DA - 1996/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5631.html
KW - Two dimensional Landau-Lifshitz equation
KW - almost smooth
AB -  In this paper, we consider the Cauchy problem for two dimensional Landau-Lifshitz equation on 2-dimenslonal Riemannian manifold M without boundary. We proved that if u: M × R_+ → S², is a weak solution, then u is unique and smooth on M × R_+ with the exception of finitely many points.