Polyharmonic Boundary Value Problem in a Sector  

作　　者：WANG Ying HE Qi HE Fuli 

机构地区：[1]School of Statistics and Mathematics, Zhongnan University of Economics and Law [2]Rackham Graduate School, University of Michigan-Ann Arbor [3]School of Mathematics Science and Computing Technology, Central South University

出　　处：《Wuhan University Journal of Natural Sciences》2013年第4期323-326,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(11171260);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;the Research Fund for Revitalization Project of Zhongnan University of Economics and Law

摘　　要：In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.

关 键 词：polyharmonic Neumann function Neumann problem CONVOLUTION 

分 类 号：O175.4[理学—数学]