半经典莫瑟-特鲁丁格不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-29 DOI:10.1090/tran/9146

Rakesh Arora, Phan Thành Nam, Phuoc-Tai Nguyen

引用次数: 0

摘要

我们将一个函数的 Moser-Trudinger 不等式扩展到正交函数系统。当应用于有界域上薛定谔算子特征函数的集合行为时，我们的结果是渐近尖锐的。

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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Semiclassical Moser–Trudinger inequalities

We extend the Moser–Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains.

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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.