On the Dirichlet problem for the one-dimensional ROF functional
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866909294936457216 |
|---|---|
| author | Rybka, Piotr |
| author_facet | Rybka, Piotr |
| contents | We provide a number of sufficient conditions for that minimizers of the one-dimensional Rudin-Osher-Fatemi functional satisfy the Dirichlet data in the trace sense. For this purpose we use results specific for the total variation flow. We also show a number of counterexamples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Dirichlet problem for the one-dimensional ROF functional Rybka, Piotr Analysis of PDEs 35J62 35B65 35J20 35J70 35J75 We provide a number of sufficient conditions for that minimizers of the one-dimensional Rudin-Osher-Fatemi functional satisfy the Dirichlet data in the trace sense. For this purpose we use results specific for the total variation flow. We also show a number of counterexamples. |
| title | On the Dirichlet problem for the one-dimensional ROF functional |
| topic | Analysis of PDEs 35J62 35B65 35J20 35J70 35J75 |
| url | https://arxiv.org/abs/2408.13662 |