Movement of hot spots in Riemannian manifolds

DOI10.1007/BF02789205zbMath0718.53036WikidataQ115391600 ScholiaQ115391600MaRDI QIDQ2639353

Leon Karp, Isaac Chavel

Publication date: 1990

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

zbMATH Keywords

heat equationhot spotsRiemannian manifoldheat kernel

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (18)

Movement of centers with respect to various potentials ⋮ Geometric properties coded in the long-time asymptotics for the heat equation on $Z^n$ ⋮ The spatial critical points not moving along the heat flow ⋮ Geometric heat comparison criteria for Riemannian manifolds ⋮ Geometric estimation of a potential and cone conditions of a body ⋮ Experimental investigation on the uniqueness of a center of a body ⋮ Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\) ⋮ Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbf R^N\). II. ⋮ Large time behaviors of hot spots for the heat equation with a potential ⋮ Movement of time-delayed hot spots in Euclidean space ⋮ Asymptotic behavior of zeros of solutions for parabolic equations ⋮ Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition ⋮ Analytic characterization of equilateral triangles ⋮ Movement of time-delayed hot spots in Euclidean space for a degenerate initial state ⋮ Hot spots of solutions to the heat equation with inverse square potential ⋮ \(L^p\) norms of nonnegative Schrödinger heat semigroup and the large time behavior of hot spots ⋮ Stationary isothermic surfaces and uniformly dense domains ⋮ Asymptotic Expansions of Solutions of Fractional Diffusion Equations

Cites Work

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• Heat semigroup on a complete Riemannian manifold
• Matzoh ball soup: A symmetry result for the heat equation
• On the parabolic kernel of the Schrödinger operator
• Potato Kugel
• On the heat kernel of a complete Riemannian manifold
• A lower bound for the heat kernel

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