Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise
Davide A. Bignamini, Simone Ferrari · Stochastic Analysis and Applications · 2024
We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of ℝd for d=1,2,3. We prove Schauder-type estimates, which will depend on the color of the noise, for the stationary and evolution problems associated with the corresponding transition semigroup.