Regularity of finite-dimensional realizations for Evolution Equations
| dc.creator | Filipovic, Damir | |
| dc.creator | Teichmann, Josef | |
| dc.date | 2001-12-21 | |
| dc.date | 2004-10-05 | |
| dc.date.accessioned | 2026-07-07T04:45:27Z | |
| dc.date.available | 2026-07-07T04:45:27Z | |
| dc.description | We show that a continuous local semiflow of $C^k$-maps on a finite-dimensional $C^k$-manifold M can be embedded into a local $C^k$-flow on M under some weak (necessary) assumptions. This result is applied to an open problem in [fil/tei:01]. We prove that finite-dimensional realizations for interest rate models are highly regular objects, namely given by submanifolds M of $D(A^{\infty})$, where A is the generator of a strongly continuous semigroup. | |
| dc.identifier | https://arxiv.org/abs/math/0112244 | |
| dc.identifier | http://arxiv.org/abs/math/0112244 | |
| dc.identifier | Journal of Functional Analysis 197 (2003), 433--446 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62956 | |
| dc.subject | Functional Analysis | |
| dc.subject | Differential Geometry | |
| dc.subject | 60H15, 46A04, 53C12 | |
| dc.title | Regularity of finite-dimensional realizations for Evolution Equations | |
| dc.type | text |