Harmonic functions which vanish on a cylindrical surface

DOI10.1016/j.jmaa.2015.08.077zbMath1327.31012OpenAlexW1875618824MaRDI QIDQ499258

Stephen J. Gardiner, Hermann Render

Publication date: 30 September 2015

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.2015.08.077

zbMATH Keywords

Green functioncylindrical domainsharmonic continuation

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (8)

A reflection result for harmonic functions which vanish on a cylindrical surface ⋮ Extension results for harmonic functions which vanish on cylindrical surfaces ⋮ Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface ⋮ Harmonic extension from the exterior of a cylinder ⋮ Dirichlet's problem with entire data posed on an ellipsoidal cylinder ⋮ Harmonic functions which vanish on coaxial cylinders ⋮ Harmonic extension through conical surfaces ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas

Cites Work

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• 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 \(\mathbb{R}^ n\)
• Inequalities and Approximations for Zeros of Bessel Functions of Small Order
• Bessel Functions: Monotonicity and Bounds

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