Differentiable perturbations of Ornstein-Uhlenbeck operators
| dc.creator | Manca, Luigi | |
| dc.date | 2007-05-22 | |
| dc.date.accessioned | 2026-07-07T08:02:49Z | |
| dc.date.available | 2026-07-07T08:02:49Z | |
| dc.description | We prove an extension theorem for a small perturbation of the Ornstein-Uhlenbeck operator $(L,D(L))$ in the space of all uniformly continuous and bounded functions $f:H\to \Rset$, where $H$ is a separable Hilbert space. We consider a perturbation of the form $N_0ϕ=Lϕ+< Dϕ,F>$ where $F:H\to H$ is bounded and Fréchet differentiable with uniformly continuous and bounded differential. Hence, we prove that $N_0$ is $m$-dissipative and its closure in $C_b(H)$ coincides with the infinitesimal generator of a diffusion semigroup associated to a stochastic differential equation in $H$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0705.3126 | |
| dc.identifier | http://arxiv.org/abs/0705.3126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129351 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Probability | |
| dc.subject | 47B38; 47A55 | |
| dc.title | Differentiable perturbations of Ornstein-Uhlenbeck operators | |
| dc.type | text |