On functions of bounded variation on convex domains in Hilbert spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866911819608621056 |
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| author | Angiuli, L. Ferrari, S. Pallara, D. |
| author_facet | Angiuli, L. Ferrari, S. Pallara, D. |
| contents | We study functions of bounded variation (and sets of finite perimeter) on a convex open set $Ω\subseteq X$, $X$ being an infinite dimensional real Hilbert space. We relate the total variation of such functions, defined through an integration by parts formula, to the short-time behaviour of the semigroup associated with a perturbation of the Ornstein--Uhlenbeck operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_07181 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On functions of bounded variation on convex domains in Hilbert spaces Angiuli, L. Ferrari, S. Pallara, D. Functional Analysis Analysis of PDEs 28C20, We study functions of bounded variation (and sets of finite perimeter) on a convex open set $Ω\subseteq X$, $X$ being an infinite dimensional real Hilbert space. We relate the total variation of such functions, defined through an integration by parts formula, to the short-time behaviour of the semigroup associated with a perturbation of the Ornstein--Uhlenbeck operator. |
| title | On functions of bounded variation on convex domains in Hilbert spaces |
| topic | Functional Analysis Analysis of PDEs 28C20, |
| url | https://arxiv.org/abs/2006.07181 |