Schauder estimates for equations with cone metrics, 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

引用次数: 0

Abstract

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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具有锥度度量的方程的 Schauder 估计数，II

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。

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

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