Fine singularity analysis of solutions to Laplace equation

2013/06/29 by Adam Kubica, Kubica, Adam, Piotr Rybka +1
Mathematics · #35J05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J05

paper · pdf · doi:10.48550/arxiv.1307.0115

arxiv created 2013/09/28 · arxiv updated 2013/10/01

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 on one component of the boundary. Our motivation is to find the rigorous proof the so-called Berg's effect.

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