Heat equation on a hemisphere

DOI10.1017/S0308210500028845zbMath0753.35039OpenAlexW2321126311MaRDI QIDQ3974213

Michiel van den Berg

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500028845

zbMATH Keywords

Dirichlet boundary conditionsLaplace-Beltrami operatorhyperspherical coordinatescombinatorial formulaasymptotic estimate for the amount of heat

Mathematics Subject Classification ID

Heat equation (35K05) Series solutions to PDEs (35C10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

Heat content and Brownian motion for some regions with a fractal boundary ⋮ Heat content asymptotics for sub-Riemannian manifolds ⋮ First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces ⋮ Heat invariants for odd-dimensional hemispheres ⋮ Heat content asymptotics for operators of Laplace type with Neumann boundary conditions

Cites Work

• Exit times from cones in \({\mathbb{R}}^ n\) of Brownian motion
• Heat flow out of regions in \({\mathbb{R}}^ m\)
• A Remark on Stirling's Formula
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