TY - JOUR T1 - Initial-boundary Value Problem for the Landau-Lifshitz System with Applied Field JO - Journal of Partial Differential Equations VL - 1 SP - 35 EP - 50 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5495.html KW - Weak solution KW - partial regularity KW - Landau-Lifshitz equations: applied fields AB - In this paper, the existence and partial regularity of weak solution to the initial-boundary value problem of Landau-Lifshitz equations with applied fields in a 2D bounded domain are obtained by the penalty method.