哈代空间中二阶椭圆方程的全局黑森估计

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica 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

摘要

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。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.