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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Accesso online: | https://arxiv.org/abs/1907.10650 |
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| _version_ | 1866916255508725760 |
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| author | Mazon, J. M. Solera, M. Toledo, J. |
| author_facet | Mazon, J. M. Solera, M. Toledo, J. |
| contents | In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_10650 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | $(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces Mazon, J. M. Solera, M. Toledo, J. Analysis of PDEs 05C80, 35R02, 05C21, 45C99, 26A45 In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters. |
| title | $(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces |
| topic | Analysis of PDEs 05C80, 35R02, 05C21, 45C99, 26A45 |
| url | https://arxiv.org/abs/1907.10650 |