Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space
| dc.creator | Lemle, Ludovic Dan | |
| dc.creator | Wu, Liming | |
| dc.date | 2007-12-14 | |
| dc.date.accessioned | 2026-07-07T08:49:20Z | |
| dc.date.available | 2026-07-07T08:49:20Z | |
| dc.description | The main purpose is to generalize a theorem of Arendt about uniqueness of $C_0$-semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are the only domains of uniqueness for $C_0$-semigroups on locally convex spaces. As an application, we find a necessary and sufficient condition for that the mass transport equation has one unique $L^1(\R^d,dx)$ weak solution. | |
| dc.identifier | https://arxiv.org/abs/0712.2406 | |
| dc.identifier | http://arxiv.org/abs/0712.2406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144262 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D03, 47F05 (Primary); 60J60 (Secondary) | |
| dc.title | Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space | |
| dc.type | text |