Schauder regularity results in separable Hilbert spaces

Abstract

We prove Schauder type estimates for solutions of stationary and evolution equations driven by weak generators of transition semigroups associated to a semilinear stochastic partial differential equations with values in a separable Hilbert space.

References in corpus (2)

• Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
• $L^2$-theory for transitions semigroups associated to dissipative systems

Cited by in corpus (2)

• Differentiability in infinite dimension and the Malliavin calculus
• Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise