Global Hessian estimate for second-order elliptic equation in Hardy spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-18 DOI:10.1007/s11587-024-00888-z

Le Xuan Truong, Nguyen Duc Trung, Nguyen Ngoc Trong, Tan Duc Do

引用次数: 0

Abstract

We establish the unique existence of a strong solution to a Dirichlet problem involving a second-order elliptic operator in Hardy spaces. The strong solution also enjoys a regularity estimate in Hardy quasi-norms up to the second-order derivatives.

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哈代空间中二阶椭圆方程的全局黑森估计

我们在哈代空间中建立了一个涉及二阶椭圆算子的德里赫特问题强解的唯一存在性。这个强解还在哈代准矩阵中享有正则估计，直至二阶导数。

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.