SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS

doi:10.2140/apde.2021.14.2539

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	SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS
	Brue, Elia 1,2; Quoc-Hung Nguyen 1,3
	2021
发表期刊	ANALYSIS & PDE
ISSN	1948-206X
卷号	14 期号:8 页码:2539-2559
摘要	The aim of this note is to prove sharp regularity estimates for solutions of the continuity equation, associated to W-1,W- p vector fields for p > 1. The regularity is of "logarithmic order" and is measured by means of suitable seminorms.
关键词	ordinary differential equations with nonsmooth vector fields continuity equation transport equation regular Lagrangian flow BV function log-Sobolev space Bressan's mixing conjecture
DOI	10.2140/apde.2021.14.2539
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000754406300006
出版者	MATHEMATICAL SCIENCE PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59996
专题	中国科学院数学与系统科学研究院
通讯作者	Brue, Elia
作者单位	1.Scuola Normale Super Pisa, Pisa, Italy 2.Inst Adv Study, Sch Math, Olden Lane, Princeton, NJ 08540 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Brue, Elia,Quoc-Hung Nguyen. SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS[J]. ANALYSIS & PDE,2021,14(8):2539-2559.
APA	Brue, Elia,&Quoc-Hung Nguyen.(2021).SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS.ANALYSIS & PDE,14(8),2539-2559.
MLA	Brue, Elia,et al."SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS".ANALYSIS & PDE 14.8(2021):2539-2559.