Identification of unbounded electric potentials through asymptotic boundary spectral data

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-12-28 DOI:10.1007/s40687-023-00417-8

Mourad Bellassoued, Yavar Kian, Yosra Mannoubi, Éric Soccorsi

引用次数: 0

Abstract

We prove that the real-valued electric potential \(q \in L^{\max (2,3 n /5)}(\Omega )\) of the Dirichlet Laplacian \(-\Delta +q\) acting in a bounded domain \(\Omega \subset \mathbb {R}^n\), \(n \ge 3\), is uniquely determined by the asymptotics of the eigenpairs formed by the eigenvalues and the boundary observation of the normal derivative of the eigenfunctions.

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通过渐近边界谱数据识别无界电势

我们证明了作用于有界域（（Omega 子集）mathbb {R}^n）中的 Dirichlet 拉普拉奇的实值电势（q in L^{\max (2,3 n /5)}(\Omega )\) of the Dirichlet Laplacian \(-\Delta +q\) acting in a bounded domain \(\Omega \subset \mathbb {R}^n\)、\(n)，是由特征值形成的特征对的渐近性和特征函数法导数的边界观测唯一决定的。

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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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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