Fine singularity analysis of solutions to the Laplace equation

DOI10.1002/mma.3182zbMath1327.35077arXiv1307.0115OpenAlexW2963976652MaRDI QIDQ5259869

Piotr Rybka, Adam Kubica

Publication date: 29 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0115

zbMATH Keywords

polygonal domainsBerg's effectsingularities of harmonic functionsdual singular functionpiecewise constant Neumann data

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Bent rectangles as viscosity solutions over a circle ⋮ Fine singularity analysis of solutions to the Laplace equation: Berg's effect ⋮ Regularized formulation of potential field gradients in singular boundary method

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