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

doi:10.2140/apde.2021.14.2539

	SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS
	Brue, Elia 1,2; Quoc-Hung Nguyen 1,3
刊名	ANALYSIS & PDE
	2021
卷号	14 期号:8 页码:2539-2559
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
ISSN号	1948-206X
DOI	10.2140/apde.2021.14.2539
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	MATHEMATICAL SCIENCE PUBL
WOS记录号	WOS:000754406300006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59995]
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.