Boundary estimates of solutions mixed boundary problems for elliptic equations with VMO coefficients

Q2 Engineering

Engineering Transactions Pub Date : 2023-01-01 DOI:10.30546/2706-7734.43.7.2023.84

Konul G. Suleymanova

引用次数: 0

Abstract

. In this paper we obtain generalized weighted Sobolev – Morrey estimates with weights from the Muckenhoupt class A p by establishing boundedness of several important operators in harmonic analysis such as Hardy – Littlewood operators and Calderon –Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions mixed boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev – Morrey spaces in a smooth bounded domain Ω ⊂ R n are obtained.

查看原文本刊更多论文

带VMO系数椭圆方程混合边界问题解的边界估计

．本文通过建立调和分析中Hardy - Littlewood算子和Calderon - zygmund奇异积分算子在广义加权Morrey空间中的有界性，从Muckenhoupt类A p中得到了带权的广义加权Sobolev - Morrey估计。由此，得到了光滑有界Ω∧R n上广义加权Sobolev - Morrey空间中高阶均匀椭圆型混合边界问题弱解的先验估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Engineering Transactions Engineering-Engineering (all)

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Engineering Transactions (formerly Rozprawy Inżynierskie) is a refereed international journal founded in 1952. The journal promotes research and practice in engineering science and provides a forum for interdisciplinary publications combining mechanics with: Material science, Mechatronics, Biomechanics and Biotechnologies, Environmental science, Photonics, Information technologies, Other engineering applications. The journal publishes original papers covering a broad area of research activities including: experimental and hybrid techniques, analytical and numerical approaches. Review articles and special issues are also welcome. Following long tradition, all articles are peer reviewed and our expert referees ensure that the papers accepted for publication comply with high scientific standards. Engineering Transactions is a quarterly journal intended to be interesting and useful for the researchers and practitioners in academic and industrial communities.