Lecture notes on the DiPerna-Lions theory in abstract measure spaces
Metric Geometry
2016-09-13 v2 Analysis of PDEs
Probability
Abstract
These notes closely correspond to a series of lectures given by the first author in Toulouse, on the recent extension of the theory of ODE well-posedness to abstract spaces, jointly obtained by the two authors. In the last part, we describe some further developments with respect to the theory of (possibly degenerate) diffusion processes, in a similar setting, contained in the second author's PhD thesis.
Keywords
Cite
@article{arxiv.1505.05292,
title = {Lecture notes on the DiPerna-Lions theory in abstract measure spaces},
author = {Luigi Ambrosio and Dario Trevisan},
journal= {arXiv preprint arXiv:1505.05292},
year = {2016}
}