Fine singularity analysis of solutions to the Laplace equation |
| |
| Authors: | Adam Kubica Piotr Rybka |
| |
| Affiliation: | 1. Faculty of Mathematics and Information Science, Warsaw University of Technology, 00‐662 Warsaw, Poland;2. Faculty of Mathematics, Informatics and Mechanics, The University of Warsaw, 02‐097 Warsaw, Poland |
| |
| Abstract: | We present here a fine singularity analysis of solutions to the Laplace equation in special polygonal domains in the plane. We assume piecewise constant Neumann data on one component of the boundary. Our motivation is to study the so‐called Berg effect, which is explained in the introduction. Copyright © 2014 John Wiley & Sons, Ltd. |
| |
| Keywords: | singularities of harmonic functions polygonal domains piecewise constant Neumann data dual singular function Berg's effect |
|
|
