Harmonic extension through conical surfaces

DOI10.1007/s00208-021-02310-7OpenAlexW4206794101MaRDI QIDQ2089721

Stephen J. Gardiner, Hermann Render

Publication date: 24 October 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-021-02310-7

zbMATH Keywords

Green functioninfinite coneharmonic functionsextension results

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Green's functions for elliptic equations (35J08)

Uses Software

• DLMF

Cites Work

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• A reflection result for harmonic functions which vanish on a cylindrical surface
• A new type of sharp bounds for ratios of modified Bessel functions
• Harmonic functions which vanish on a cylindrical surface
• Extension results for harmonic functions which vanish on cylindrical surfaces
• On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\)
• Harmonic functions which vanish on coaxial cylinders
• Expansion formulas and addition theorems for Gegenbauer functions
• Linear Holomorphic Partial Differential Equations and Classical Potential Theory
• The method of images and Green's function for spherical domains
• Harmonic extension from the exterior of a cylinder
• SOME PROPERTIES OF LEGENDRE FUNCTIONS

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