A reflection result for harmonic functions which vanish on a cylindrical surface
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Publication:298104
DOI10.1016/j.jmaa.2016.05.007zbMath1367.31006OpenAlexW2372396825MaRDI QIDQ298104
Stephen J. Gardiner, Hermann Render
Publication date: 20 June 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10197/7703
Related Items (7)
Extension results for harmonic functions which vanish on cylindrical surfaces ⋮ Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface ⋮ On \(\mathrm{Lip}( \omega )\)-continuity of the operator of harmonic reflection over boundaries of simple Carathéodory domains ⋮ On -reflection of harmonic functions and -approximation by harmonic polynomials ⋮ Harmonic extension from the exterior of a cylinder ⋮ Harmonic functions which vanish on coaxial cylinders ⋮ Harmonic extension through conical surfaces
Cites Work
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- Harmonic functions which vanish on a cylindrical surface
- On the existence of a largest subharmonic minorant of a given function
- 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
- On the reflection laws of second order differential equations in two independent variables
- Inequalities and Approximations for Zeros of Bessel Functions of Small Order
- On non-local reflection for elliptic equations of the second order in $\mathbb{R}^{2}$ (the Dirichlet condition)
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