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Polyharmonic boundary value problem in a sector |
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| Authors: | Ying Wang Qi He Fuli He |
| Affiliation: | 1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, 430074, Hubei, China 2. Rackham Graduate School, University of Michigan-Ann Arbor, Ann Arbor, 48104, USA 3. School of Mathematics Science and Computing Technology, Central South University, Changsha, 410083, Hunan, China |
| Abstract: | In this article, a polyharmonic Neumann function in a sector with angle θ=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. |
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