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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
Authors
Publication date
2018-08-01
Publisher
Volume
54
Issue
3
Start page
1314
End page
1340
Subjects
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 17, 2024
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