2 papers
math.MG2021
On master test plans for the space of BV functions
Francesco Nobili, Enrico Pasqualetto, Timo Schultz
We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all functions and their total variation measures. In the s…
math.MG2020
A differential perspective on Gradient Flows on -spaces and applications
Nicola Gigli, Francesco Nobili
We review the theory of Gradient Flows in the framework of convex and lower semicontinuous functionals on -spaces and prove that they can be characterized by the same…