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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.03691 |
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| _version_ | 1866913880105549824 |
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| author | Puchert, Simon |
| author_facet | Puchert, Simon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03691 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear Beurling-Deny criteria Puchert, Simon Functional Analysis 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. |
| title | Nonlinear Beurling-Deny criteria |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2502.03691 |