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arXiv · 2502.03691

Nonlinear Beurling-Deny criteria

Simon Puchert
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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.

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Simon Puchert. 2025-02-06. Nonlinear Beurling-Deny criteria. https://arxiv.org/abs/2502.03691

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