热核的逐点单调性。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.1007/s13163-021-00417-8

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

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引用次数: 6

摘要

本文给出了欧几里德空间、球空间和双曲空间所共有的热核的一个点向径向单调性的初等证明。主要结果是由Cheeger和Yau在1981年发现的，并在最近几年在一些特殊情况下被重新发现。讨论了旋转超曲面上特殊点的热核单调性问题。我们的证明取决于抛物线极大值原理的一个不直接但很基本的应用。根据单调性，我们得到了涉及经典特殊函数的新的不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pointwise monotonicity of heat kernels.

In 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.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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