Invariant manifolds for random and stochastic partial differential equations
| dc.creator | Caraballo, Tomas | |
| dc.creator | Duan, Jinqiao | |
| dc.creator | Lu, Kening | |
| dc.creator | Schmalfuss, Bjorn | |
| dc.date | 2009-01-04 | |
| dc.date.accessioned | 2026-07-07T12:24:32Z | |
| dc.date.available | 2026-07-07T12:24:32Z | |
| dc.description | Random invariant manifolds are geometric objects useful for understanding complex dynamics under stochastic influences. Under a nonuniform hyperbolicity or a nonuniform exponential dichotomy condition, the existence of random pseudo-stable and pseudo-unstable manifolds for a class of \emph{random} partial differential equations and \emph{stochastic} partial differential equations is shown. Unlike the invariant manifold theory for stochastic \emph{ordinary} differential equations, random norms are not used. The result is then applied to a nonlinear stochastic partial differential equation with linear multiplicative noise. | |
| dc.description | Adv. Nonlinear Studies, in press, 2009 | |
| dc.identifier | https://arxiv.org/abs/0901.0382 | |
| dc.identifier | http://arxiv.org/abs/0901.0382 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214356 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Probability | |
| dc.subject | 37L55, 35R60; 58B99, 35L20 | |
| dc.title | Invariant manifolds for random and stochastic partial differential equations | |
| dc.type | text |