On smoothing in non autonomous Ornstein-Uhlenbeck equations in infinite dimensions
Analysis of PDEs
2023-09-19 v6
Abstract
We prove smoothing properties along suitable directions of the Ornstein-Uhlenbeck evolution operator, namely the evolution operator associated to non autonomous Ornstein-Uhlenbeck equations. Moreover we use such smoothing estimates to prove Schauder type theorems, again along suitable directions, for the mild solutions of a class of evolution equations.
Keywords
Cite
@article{arxiv.2212.05559,
title = {On smoothing in non autonomous Ornstein-Uhlenbeck equations in infinite dimensions},
author = {Paolo De Fazio},
journal= {arXiv preprint arXiv:2212.05559},
year = {2023}
}