二维Landau-Lifshitz方程的部分正则性

Partial Regularity for Two Dimensional Landau Lifshitz Equations

本文证明二维ＬａｎｄａｕＬｉｆｓｈｉｔｚ方程的初值问题的能量有限弱解是唯一的，而且除去至多有限个奇点之外，它是光滑的．

It is proved that any weak solution with finite energy to the initial value problem of two dimensional Landau Lifshitz equation is unique and is smooth with the exception of at most finitely many points.