Smoothing effects and maximal H\"older regularity for non-autonomous Kolmogorov equations in infinite dimension
Probability
2021-11-11 v1 Analysis of PDEs
Abstract
We prove smoothing properties and optimal Schauder type estimates for a class of nonautonomous evolution equations driven by time dependent Ornstein-Uhlenbeck operators in a separable Hilbert space. They arise as Kolmogorov equations of linear nonautonomous stochastic differential equations with Gaussian noise.
Keywords
Cite
@article{arxiv.2111.05421,
title = {Smoothing effects and maximal H\"older regularity for non-autonomous Kolmogorov equations in infinite dimension},
author = {Sandra Cerrai and Alessandra Lunardi},
journal= {arXiv preprint arXiv:2111.05421},
year = {2021}
}