A new approach to transport equations associated to a regular field: trace results and well-posedness
| dc.creator | Arlotti, Luisa | |
| dc.creator | Banasiak, Jacek | |
| dc.creator | Lods, Bertrand | |
| dc.date | 2006-10-26 | |
| dc.date | 2009-01-24 | |
| dc.date.accessioned | 2026-07-07T12:33:35Z | |
| dc.date.available | 2026-07-07T12:33:35Z | |
| dc.description | We generalize known results on transport equations associated to a Lipschitz field $\mathbf{F}$ on some subspace of $\mathbb{R}^N$ endowed with some general space measure $μ$. We provide a new definition of both the transport operator and the trace measures over the incoming and outgoing parts of $\partial Ω$ generalizing known results from the literature. We also prove the well-posedness of some suitable boundary-value transport problems and describe in full generality the generator of the transport semigroup with no-incoming boundary conditions. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610808 | |
| dc.identifier | http://arxiv.org/abs/math/0610808 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217175 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 47D06, 47D05, 47N55, 35F05, 82C40 | |
| dc.title | A new approach to transport equations associated to a regular field: trace results and well-posedness | |
| dc.type | text |