SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS
文献类型：期刊论文
| 作者 | Brue, Elia1,2; Quoc-Hung Nguyen1,3 |
| 刊名 | ANALYSIS & PDE
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000754406300006 |
| 出版者 | MATHEMATICAL SCIENCE PUBL |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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