ShanghaiTech University Knowledge Management System
A simple proof of the generalized Leibniz rule on bounded Euclidean domains | |
2021-11 | |
发表期刊 | FORUM MATHEMATICUM
![]() |
ISSN | 0933-7741 |
EISSN | 1435-5337 |
卷号 | 33期号:6页码:1561-1572 |
DOI | 10.1515/forum-2020-0228 |
摘要 | This paper is devoted to a simple proof of the generalized Leibniz rule in bounded domains. The operators under consideration are the so-called spectral Laplacian and the restricted Laplacian. Equations involving such operators have lately been considered by Constantin and Ignatova in the framework of the SQG equation [P. Constantin and M. Ignatova, Critical SQG in bounded domains, Ann. PDE 2 (2016), no. 2, Article ID 8] in bounded domains, and by two of the authors [Q.-H. Nguyen and J. L. Vazquez, Porous medium equation with nonlocal pressure in a bounded domain, Comm. Partial Differential Equations 43 (2018), no. 10, 1502-1539] in the framework of the porous medium with nonlocal pressure in bounded domains. We will use the estimates in thiswork in a forthcoming paper on the study of porous medium equations with pressure given by Riesz-type potentials. |
关键词 | Fractional Laplacian operators on domains commutator estimates Leibniz rule |
URL | 查看原文 |
收录类别 | SCIE |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000715542000008 |
出版者 | WALTER DE GRUYTER GMBH |
原始文献类型 | Article |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/131817 |
专题 | 数学科学研究所_PI研究组(P)_Quoc Hung Nguyen组 |
通讯作者 | Sire, Yannick |
作者单位 | 1.Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA; 2.ShanghaiTech Univ, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R China; 3.Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain |
第一作者单位 | 上海科技大学 |
第一作者的第一单位 | 上海科技大学 |
推荐引用方式 GB/T 7714 | Quoc-Hung Nguyen,Sire, Yannick,Vazquez, Juan-Luis. A simple proof of the generalized Leibniz rule on bounded Euclidean domains[J]. FORUM MATHEMATICUM,2021,33(6):1561-1572. |
APA | Quoc-Hung Nguyen,Sire, Yannick,&Vazquez, Juan-Luis.(2021).A simple proof of the generalized Leibniz rule on bounded Euclidean domains.FORUM MATHEMATICUM,33(6),1561-1572. |
MLA | Quoc-Hung Nguyen,et al."A simple proof of the generalized Leibniz rule on bounded Euclidean domains".FORUM MATHEMATICUM 33.6(2021):1561-1572. |
条目包含的文件 | 下载所有文件 | |||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 |
修改评论
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。