journal article
The strong Feller property for singular stochastic PDEs
We show that the Markov semigroups generated by a large class of singular stochastic PDEs satisfy the strong Feller property. These include for example the KPZ equation and the dynamical Phi(4)(3) model. As a corollary, we prove that the Brownian bridge measure is the unique invariant measure for the KPZ equation with periodic boundary conditions.
Type
journal article
Web of Science ID
WOS:000438376100005
Author(s)
Mattingly, J.
Date Issued
2018-08-01
Publisher
Volume
54
Issue
3
Start page
1314
End page
1340
Subjects
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
Editorial or Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
| Funder | Funding(s) | Grant Number | Grant URL |
European Research Council | 615897 | ||
Leverhulme Trust | |||
NSF | DMS-1546130, DMS-1613337 | ||
| Show more | |||
Available on Infoscience
September 17, 2024
Use this identifier to reference this record