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

Ambrosio Luigi - Trevisan Dario

year: 2015
abstract: These notes collect the lectures given by the first author in Toulouse, April 2014, on the well-posedness theory for continuity and transport equation in metric measure spaces, summarizing the joint work appeared in Analysis and PDE. The last part of the notes covers also more recent developments, due to the second author, on diffusion operators on metric measure spaces.

The paper is available on the cvgmt preprint server.