On a class of stochastic semilinear PDE's
| dc.creator | Manca, Luigi | |
| dc.date | 2005-09-20 | |
| dc.date.accessioned | 2026-07-07T06:18:20Z | |
| dc.date.available | 2026-07-07T06:18:20Z | |
| dc.description | We consider stochastic semilinear partial differential equations with Lipschitz nonlinear terms. We prove existence and uniqueness of an invariant measure and the existence of a solution for the corresponding Kolmogorov equation in the space $L^2(H;ν)$, where $ν$ is the invariant measure. We also prove the closability of the derivative operator and an integration by parts formula. Finally, under boundness conditions on the nonlinear term, we prove a Poincaré inequality, a logarithmic Sobolev inequality and the ipercontractivity of the transition semigroup. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509446 | |
| dc.identifier | http://arxiv.org/abs/math/0509446 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94703 | |
| dc.subject | Probability | |
| dc.subject | 37L40; 35R60; 35K57 | |
| dc.title | On a class of stochastic semilinear PDE's | |
| dc.type | text |