Pointwise monotonicity of heat kernels-Reference-Cited by-同舟云学术

Pointwise monotonicity of heat kernels

Published:2021-12-13 Issue: Volume: Page:
ISSN:1139-1138
Container-title:Revista Matemática Complutense
language:en
Short-container-title:Rev Mat Complut

Author:

Alonso-Orán Diego^ORCID,Chamizo Fernando,Martínez Ángel D.,Mas Albert

Abstract

AbstractIn this paper we present an elementary proof of a pointwise radial monotonicity property of heat kernels that is shared by the Euclidean spaces, spheres and hyperbolic spaces. The main result was discovered by Cheeger and Yau in 1981 and rediscovered in special cases during the last few years. It deals with the monotonicity of the heat kernel from special points on revolution hypersurfaces. Our proof hinges on a non straightforward but elementary application of the parabolic maximum principle. As a consequence of the monotonicity property, we derive new inequalities involving classical special functions.

Funder

Programa Severo Ochoa

Ministerio de Ciencia, Innovación y Universidades

European Research Council

Rheinische Friedrich-Wilhelms-Universität Bonn

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s13163-021-00417-8.pdf

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