具有锥度度量的方程的 Schauder 估计数，II

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-24 DOI:10.2140/apde.2024.17.757

Bin Guo, Jian Song

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引用次数: 0

摘要

我们继续研究具有圆锥奇点的方程的线性理论。我们推导了线性椭圆方程和抛物方程的内部 Schauder 估计，这些方程的背景是沿着简单法线交叉的分部存在锥形奇点的 Kähler 度量。作为应用，我们证明了沿简单法线交叉的分部具有圆锥奇点的圆锥 Kähler-Ricci 流的短时存在性。

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Schauder estimates for equations with cone metrics, II

We continue our work on the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical Kähler–Ricci flow with conical singularities along a divisor with simple normal crossings.

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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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