TY - JOUR T1 - Neumann Boundary Value Problem for the Landau-Lifshitz Equation JO - Journal of Partial Differential Equations VL - 2 SP - 121 EP - 140 PY - 2005 DA - 2005/05 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5349.html KW - Landau-Lifschitz Equation KW - difference method KW - existence and uniqueness AB -

In this paper, we prove that there exists a unique global smooth solution for the homogeneous Neumann boundary value problem of the Landau-Lifschitz equation if the initial function is smooth.