Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface

DOI10.1016/j.jmaa.2022.126097zbMath1489.31001OpenAlexW4213165904WikidataQ115188916 ScholiaQ115188916MaRDI QIDQ2668941

Stephen J. Gardiner, Hermann Render

Publication date: 9 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126097

zbMATH Keywords

modified Bessel functionsGreen functionharmonic continuation

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Uses Software

• DLMF

Cites Work

• A reflection result for harmonic functions which vanish on a cylindrical surface
• Harmonic functions which vanish on a cylindrical surface
• A Nicholson-type integral for the cross-product of the Bessel functions
• Remarks on the reflection principle for harmonic functions
• The Green function for uniformly elliptic equations
• On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\)
• Linear Holomorphic Partial Differential Equations and Classical Potential Theory
• Harmonic extension from the exterior of a cylinder
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