调和量自由边界问题的奇异层

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-17 DOI:10.2140/apde.2024.17.1127

Sean McCurdy

引用次数: 0

摘要

我们获得了对互补域Ω+,Ω-⊂ ℝn的互边界∂Ω±奇异集精细结构的定量估计，这些互边界问题出现在一类双面自由边界的调和度量问题中。这些估计给出了互边界 ∂Ω± 结构的新见解。

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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The singular strata of a free-boundary problem for harmonic measure

We obtain quantitative estimates on the fine structure of the singular set of the mutual boundary $\partial Ω^{\pm}$ for pairs of complementary domains $Ω^{+}, Ω^{-} \subset ℝ^{n}$ which arise in a class of two-sided free boundary problems for harmonic measure. These estimates give new insight into the structure of the mutual boundary $\partial Ω^{\pm}$ .

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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.