Nonlinear Dirichlet forms, energy spaces, and calculus rules
Functional Analysis
2023-09-04 v1 Probability
Abstract
We review recent contributions on nonlinear Dirichlet forms. Then, we specialise to the case of 2-homogeneous and local forms. Inspired by the theory of Finsler manifolds and metric measure spaces, we establish new properties of such nonlinear Dirichlet forms, which are reminiscent of differential calculus formulae.
Cite
@article{arxiv.2309.00377,
title = {Nonlinear Dirichlet forms, energy spaces, and calculus rules},
author = {Giovanni Brigati},
journal= {arXiv preprint arXiv:2309.00377},
year = {2023}
}