环域上Neumann问题的若干结果  

Several Results about Neumann Problems on Ring Area

作　　者：吕金城[1] 王恒彬[1] 

机构地区：[1]安阳师范学院数学系,455002

出　　处：《中国科技信息》2005年第19A期51-52,共2页China Science and Technology Information

摘　　要：本文首先利用Green第一公式给出了环域上Neumann问题存在解的充分必要条件,然后利用本征函数法给出了问题的求解过程和解的具体形式,指出了圆内Neumann问题是本文讨论的问题的特殊情形,最后根据解的具体形式说明了问题解的唯一性。This paper will be concerned with the Neumann problems on the area of the outer circle .First, we give a necessary and sufficiently condition which its solution exist with Green first formula, second, we give its integration form solution with eigenfunction method, Finally ,we proof the uniqueness of its solution with solution form.

关 键 词：环形域 NEUMANN问题 周期边界条件 

分 类 号：O411.1[理学—理论物理]