Calculus of Variations and Geometric Measure Theory

L. Ambrosio - D. Trevisan

Lecture notes on the DiPerna-Lions theory in abstract measure spaces

created by ambrosio on 19 May 2015
modified by trevisan on 10 Jun 2017



Inserted: 19 may 2015
Last Updated: 10 jun 2017

Year: 2015

ArXiv: 1505.05292 PDF


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.

Tags: GeMeThNES