The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908291384213504 |
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| author | Schmidt, Marcel Zimmermann, Ian |
| author_facet | Schmidt, Marcel Zimmermann, Ian |
| contents | In this paper we establish the existence of the extended Dirichlet space for nonlinear Dirichlet forms under mild conditions. We employ it to introduce and characterize criticality (recurrence) and subcriticality (transience) and establish basics of a potential theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms Schmidt, Marcel Zimmermann, Ian Functional Analysis In this paper we establish the existence of the extended Dirichlet space for nonlinear Dirichlet forms under mild conditions. We employ it to introduce and characterize criticality (recurrence) and subcriticality (transience) and establish basics of a potential theory. |
| title | The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2501.18391 |