An analytical solution of the Laplace equation with Robin conditions by applying Legendre transform

DOI10.1080/10652469.2015.1121255zbMath1342.31006OpenAlexW2284531347WikidataQ57849094 ScholiaQ57849094MaRDI QIDQ2812109

Stéphane Mottin

Publication date: 16 June 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1121255

zbMATH Keywords

Legendre transformLaplace equationRobin boundary conditions

Mathematics Subject Classification ID

Connections of harmonic functions with differential equations in higher dimensions (31B35) Appell, Horn and Lauricella functions (33C65) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (3)

On non-homogeneous Robin reflection for harmonic functions ⋮ Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions ⋮ The numerical solution of forward and inverse Robin problems for Laplace's equation

Cites Work

• Construction of Green's function to the external Dirichlet boundary-value problem for the Laplace equation on an ellipsoid of revolution
• A fast spherical harmonics transform algorithm
• On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains
• Methods for Solving Elliptic PDEs in Spherical Coordinates
• An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
• ON THE REDUCIBILITY OF APPELL'S FUNCTION F₄
• Determination of the ambient temperature in transient heat conduction
• The Operational Calculus of Legendre Transforms

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