On smoothing in non autonomous Ornstein-Uhlenbeck equations in infinite dimensions

2022/12/11 by Paolo De Fazio, De Fazio, Paolo · 1 citation
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2212.05559

openalex publication_date 2022/12/11 · openalex created_date 2022/12/26 · openalex updated_date 2026/07/28

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.

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• Stochastic and deterministic non-autonomous reaction-diffusion equations

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