Duke Applied Mathematics

Publications [#318321] of Jonathan C. Mattingly

Papers Published

1. Hairer, M; Mattingly, J, The strong Feller property for singular stochastic PDEs, vol. 54 no. 3 (2016), pp. 1314-1340, Institute of Mathematical Statistics [doi]
   (last updated on 2026/01/21)

   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.