Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise

Abstract

We consider stochastic reaction-diffusion equations with colored noise and 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, defined on the Banach space of bounded and uniformly continuous functions.

References in corpus (2)

• Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
• Schauder regularity results in separable Hilbert spaces

Cited by in corpus (1)

• Differentiability in infinite dimension and the Malliavin calculus