The spatial critical points not moving along the heat flow

DOI10.1007/BF02788032zbMath0892.35010MaRDI QIDQ1361069

Rolando Magnanini, Shigeru Sakaguchi

Publication date: 23 July 1997

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

balance law

Mathematics Subject Classification ID

Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Invariance and symmetry properties for PDEs on manifolds (58J70) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

Stationary critical points of the heat flow in the plane ⋮ Polygonal heat conductors with a stationary hot spot ⋮ Nonlinear diffusion with a bounded stationary level surface ⋮ On heat conductors with a stationary hot spot ⋮ Analytic characterization of equilateral triangles ⋮ Stationary isothermic surfaces and uniformly dense domains

Cites Work

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• Movement of hot spots over unbounded domains in \({\mathbb{R}}^ N\)
• Movement of hot spots in Riemannian manifolds
• Symmetry and convergence properties for non-negative solutions of nonautonomous reaction–diffusion problems
• Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary

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