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

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
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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。
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来源期刊
Ricerche di Matematica
Ricerche di Matematica Mathematics-Applied Mathematics
CiteScore
3.00
自引率
8.30%
发文量
61
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.
期刊最新文献
Global Hessian estimate for second-order elliptic equation in Hardy spaces Liouville results for stable solutions of weighted elliptic equations involving the Grushin operator Hypercommuting conditions of b-generalized skew derivations on Lie ideals in prime rings Symmetrization results for parabolic equations with a singular lower order term Quotient gamma nearness rings
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