Math @ Duke

Publications [#318321] of Jonathan C. Mattingly
Papers Published
 Hairer, M; Mattingly, J, The strong Feller property for singular stochastic PDEs
(2016)
(last updated on 2017/12/16)
Abstract: 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.


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