Fabrice Baudoin : Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies

Posted by Cheng Ouyang , part of the Analysis and Applied Mathematics Seminar.

At

Oct. 30, 2023, 4 p.m.

In

636 SEO

Abstract

We will give sufficient general conditions for the existence of Mosco limits of Korevaar-Schoen L2 energies, first in the context of Cheeger spaces and then in the context of fractal-like spaces with walk dimension greater than 2. Among the ingredients, a new Rellich- Kondrachov type theorem for Korevaar-Schoen-Sobolev spaces is of independent interest. The talk will be based on a joint work with Patricia Alonso-Ruiz (Texas A&M)