Nonlinear Beurling-Deny criteria
Functional Analysis
2025-06-09 v2
Abstract
This short note introduces a simple symmetric contraction property for functionals. This property clearly characterizes Dirichlet forms in the linear case. We show that it also characterizes Dirichlet forms in the non-linear case. Furthermore, we use this property to gain a new perspective on criteria of Cipriani / Grillo as well as Brigati / Hartarsky.
Cite
@article{arxiv.2502.03691,
title = {Nonlinear Beurling-Deny criteria},
author = {Simon Puchert},
journal= {arXiv preprint arXiv:2502.03691},
year = {2025}
}