Stationary isothermic surfaces and some characterizations of the hyperplane in the \(N\)-dimensional Euclidean space

DOI10.1016/j.jde.2009.11.017zbMath1213.35326arXiv0812.2165OpenAlexW2964289099MaRDI QIDQ2269627

Rolando Magnanini, Shigeru Sakaguchi

Publication date: 17 March 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2165

zbMATH Keywords

Monge-Ampère-type equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)

Related Items (6)

Small diffusion and short-time asymptotics for Pucci operators ⋮ Short-time behavior for game-theoretic \(p\)-caloric functions ⋮ The Matzoh Ball Soup Problem: a complete characterization ⋮ Interaction between nonlinear diffusion and geometry of domain ⋮ Asymptotics for the resolvent equation associated to the game-theoretic p-laplacian ⋮ Symmetry Problems on Stationary Isothermic Surfaces in Euclidean Spaces

Cites Work

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• Matzoh ball soup: Heat conductors with a stationary isothermic surface
• On the Hessian of a function and the curvature of its graph
• On Harnack's theorem for elliptic differential equations
• Stationary isothermic surfaces for unbounded domains
• Diffusion processes in a small time interval
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V

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