A simple proof of the generalized Leibniz rule on bounded Euclidean domains

doi:10.1515/forum-2020-0228

KMS > 数学科学研究所 > PI研究组 > Quoc Hung Nguyen组

	A simple proof of the generalized Leibniz rule on bounded Euclidean domains
	Quoc-Hung Nguyen2 ; Sire, Yannick 1; Vazquez, Juan-Luis 3
	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.