Extension results for harmonic functions which vanish on cylindrical surfaces

DOI10.1007/s13324-018-0213-0zbMath1405.31005OpenAlexW2788266294MaRDI QIDQ1668696

Stephen J. Gardiner, Hermann Render

Publication date: 29 August 2018

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

Full work available at URL: http://hdl.handle.net/10197/10812

zbMATH Keywords

Green functioncylindrical harmonicsharmonic continuation

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

Harmonic extension from the exterior of a cylinder ⋮ Harmonic extension through conical surfaces

Cites Work

• Unnamed Item
• A reflection result for harmonic functions which vanish on a cylindrical surface
• Harmonic functions which vanish on a cylindrical surface
• Dirichlet's problem with entire data posed on an ellipsoidal cylinder
• Remarks on the reflection principle for harmonic functions
• On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\)
• Remarks on the Representation of Zero by Solutions of Differential Equations

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