Movement of hot spots over unbounded domains in \({\mathbb{R}}^ N\)

DOI10.1006/jmaa.1994.1123zbMath0830.35046OpenAlexW2093401591MaRDI QIDQ1323922

Shigeru Sakaguchi, Shuichi Jimbo

Publication date: 8 June 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1123

zbMATH Keywords

moving plane methodmovement of hot spots

Mathematics Subject Classification ID

Heat equation (35K05)

Related Items (14)

Asymptotic behavior of solutions of quasilinear parabolic equations with supercritical nonlinearity ⋮ Movement of centers with respect to various potentials ⋮ The spatial critical points not moving along the heat flow ⋮ Geometric estimation of a potential and cone conditions of a body ⋮ Experimental investigation on the uniqueness of a center of a body ⋮ 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 ⋮ When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable? ⋮ 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

This page was built for publication: Movement of hot spots over unbounded domains in \({\mathbb{R}}^ N\)