Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization
| dc.creator | Liskevich, Vitali | |
| dc.creator | Röckner, Michael | |
| dc.date | 1998-01-09 | |
| dc.date.accessioned | 2026-07-07T05:23:43Z | |
| dc.date.available | 2026-07-07T05:23:43Z | |
| dc.description | Strong and Markov uniqueness problems in $L^2$ for Dirichlet operators on rigged Hilbert spaces are studied. An analytic approach based on a--priori estimates is used. The extension of the problem to the $L^p$-setting is discussed. As a direct application essential self--adjointness and strong uniqueness in $L^p$ is proved for the generator (with initial domain the bounded smooth cylinder functions) of the stochastic quantization process for Euclidean quantum field theory in finite volume $Λ\subset \R^2$. | |
| dc.identifier | https://arxiv.org/abs/math/9801144 | |
| dc.identifier | http://arxiv.org/abs/math/9801144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76552 | |
| dc.subject | Probability | |
| dc.title | Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization | |
| dc.type | text |