Harmonic functions which vanish on coaxial cylinders

DOI10.1007/s11854-019-0050-6zbMath1435.31005arXiv1705.09237OpenAlexW2962975850WikidataQ127437138 ScholiaQ127437138MaRDI QIDQ2330806

Hermann Render, Stephen J. Gardiner

Publication date: 23 October 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09237

zbMATH Keywords

harmonic functionsboundary valuesannular cylinder

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (4)

Sufficiency of Kalman's rank condition for the approximate boundary controllability on an annular domain ⋮ Harmonic extension from the exterior of a cylinder ⋮ Harmonic extension through conical surfaces ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A reflection result for harmonic functions which vanish on a cylindrical surface
• On the location of two blowup points on an annulus for the mean field equation
• Harmonic functions which vanish on a cylindrical surface
• Remarks on the reflection principle for harmonic functions
• On the expansion of a function in terms of spherical harmonics in arbitrary dimensions
• On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\)
• On the Green Function of the Annulus
• Bessel Functions: Monotonicity and Bounds
• Remarks on the Zeros of Cross-Product Bessel Functions
• Algorithm to Calculate a Large Number of Roots of the Cross-Product of Bessel Functions

This page was built for publication: Harmonic functions which vanish on coaxial cylinders