We study stochastic partial differential equations with singular drifts and with reflection, driven by space-time white noise with nonconstant diffusion coefficients under periodic boundary conditions. The existence and uniqueness of invariant measures is established under appropriate conditions. As a byproduct, the Hölder continuity of the solution is obtained. The strong Feller property is also obtained. Moreover, we show large deviation principle.
"The Small Time Asymptotics of SPDEs with Reflection." Abstr. Appl. Anal. 2014 (SI40) 1 - 13, 2014. https://doi.org/10.1155/2014/264263