Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668781 | Bulletin des Sciences Mathématiques | 2015 | 20 Pages |
Abstract
In this paper we present a unified treatment for the ordinary differential equations under the Osgood and Sobolev type conditions, following Crippa and de Lellis's direct method. More precisely, we prove the existence, uniqueness and regularity of the DiPerna–Lions flow generated by a vector field which is “almost everywhere Osgood continuous”.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Huaiqian Li, Dejun Luo,