37 citations · 216 across the 55 of their papers we have counts for
4 papers · 1 filter
Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms
Michael Röckner, Bo Wu, Rongchan Zhu +1
In this paper, we prove the existence of martingale solutions to the stochastic heat equation taking values in a Riemannian manifold, which admits Wiener (Brownian bridge) measure…
Strong-Feller property for Navier-Stokes equations driven by space-time white noise
Rongchan Zhu, Xiangchan Zhu
In this paper we prove strong Feller property for the Markov semigroups associated to the two or three dimensional Navier-Stokes (N-S) equations driven by space-time white noise us…
Stochastic Heat Equations with Values in a Riemannian Manifold
Michael Rockner, Bo Wu, Rongchan Zhu +1
The main result of this note is the existence of martingale solutions to the stochastic heat equation (SHE) in a Riemannian manifold by using suitable Dirichlet forms on the corres…
Dirichlet form associated with the model
Rongchan Zhu, Xiangchan Zhu
We construct the Dirichlet form associated with the dynamical model obtained in [Hai14, CC13] and [MW16]. This Dirichlet form on cylinder functions is identified as a class…