The Kato square root problem for parabolic operators with an anti-symmetric part in BMO

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-06-24 DOI:10.1016/j.na.2025.113876

Alireza Ataei, Kaj Nyström

引用次数: 0

Abstract

We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is coercive, and a real anti-symmetric part, which is in

BMO

. In particular, we allow for certain unbounded coefficients.

查看原文本刊更多论文

BMO中带反对称部分抛物算子的Kato平方根问题

我们解决了抛物线算子的Kato平方根问题，这些抛物线算子的系数可以写成复部分（强制）和实反对称部分（BMO）的和。特别地，我们允许某些无界系数。

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

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.