Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 261, Issue 2, Pages 1237-1263Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2016.03.037
Keywords
Non-smooth flow; Transport equation; Sobolev vector fields; Divergence
Categories
Funding
- Generalitat de Catalunya [2014SGR75]
- Ministerio de Economia y Competitividad [MTM2013-44699]
- Programa Ramon y Cajal (Spain)
- National Natural Science Foundation of China [NSFC 11301029]
- Marie Curie Initial Training Network MAnET [FP7-607647]
Ask authors/readers for more resources
In this paper, we study flows associated to Sobolev vector fields with subexponentially integrable divergence. Our approach is based on the transport equation following DiPerna-Lions [17]. A key ingredient is to use a quantitative estimate of solutions to the Cauchy problem of transport equation to obtain the regularity of density functions. (C) 2016 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
