Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2605.23185 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910247530004480 |
|---|---|
| author | Nolan, Cian Torres, Monica |
| author_facet | Nolan, Cian Torres, Monica |
| contents | Curl-measure fields are $p$-integrable vector fields whose distributional curl is a vector-valued Radon measure with finite total variation. They were introduced in arXiv:2509.26465, where, for $p= \infty$, the existence of tangential traces for bounded Lipschitz domains was established, together with the tangential property of the trace. In this paper, we show that the same tangential property holds for domains that are sets of finite perimeter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23185 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Tangential Traces of Curl-Measure Fields Nolan, Cian Torres, Monica Analysis of PDEs 26B20, 26A45 (Primary), 28C05, 28A75 (Secondary) Curl-measure fields are $p$-integrable vector fields whose distributional curl is a vector-valued Radon measure with finite total variation. They were introduced in arXiv:2509.26465, where, for $p= \infty$, the existence of tangential traces for bounded Lipschitz domains was established, together with the tangential property of the trace. In this paper, we show that the same tangential property holds for domains that are sets of finite perimeter. |
| title | On the Tangential Traces of Curl-Measure Fields |
| topic | Analysis of PDEs 26B20, 26A45 (Primary), 28C05, 28A75 (Secondary) |
| url | https://arxiv.org/abs/2605.23185 |