Fine singularity analysis of solutions to the Laplace equation: Berg's effect

DOI10.1002/mma.3546zbMath1344.35012arXiv1412.7005OpenAlexW1921327935MaRDI QIDQ2800518

Piotr Rybka, Adam Kubica

Publication date: 15 April 2016

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

Full work available at URL: https://arxiv.org/abs/1412.7005

zbMATH Keywords

polygonal domainsBerg's effectsingularities of harmonic functionspiecewise constant Neumann data

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• The singular complement method for 2d scalar problems
• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Fine singularity analysis of solutions to the Laplace equation
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