勘误:通过最优扭转估计主特征值

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
T. Giorgi, R. G. Smits
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引用次数: 16

摘要

我们证明了一些算子的主特征值的倒数与相关广义扭转问题解的极值或随机过程的期望退出时间相当。因此,我们将素以二维单连通域上的拉普拉斯估计推广到一般的n维域、对称稳定过程和p-拉普拉斯估计。我们的证明依赖于对特征值和扭转函数的概率估计和解释。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Errata: Principal eigenvalue estimates via the supremum of torsion
We show that the reciprocal of the principal eigenvalue of some operators is comparable to the supremum of the solution to associated generalized torsion problems or the expected exit time for stochastic processes. As a result, we extend estimates, known for the Laplacian on simply connected two-dimensional domains, to general n-dimensional domains, to symmetric stable processes and to the p-Laplacian. Our proofs rely on probabilistic estimates and interpretations of the eigenvalues and the torsion functions.
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来源期刊
Accounts of Chemical Research
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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