On Skorokhod Problems for Reflected and Singular Stochastic Heat Equations

Martin Grothaus, Nicolas Renner

We prove a Skorokhod decomposition for the Markov processes $X^a$ and $X$ associated to the gradient Dirichlet forms with respect to the measures ${\rho }^a{\mu }^{\beta }$ and $\rho {\mu }^{\beta }$, respectively.…