Schauder type theorems for mild solutions to non autonomous Ornstein-Ulhenbeck equations

De Fazio Paolo, University of Parma

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.

Area: CS7 - Advances in SPDEs (Giuseppina Guatteri and Federica Masiero)

Keywords: Infinite Dimensional Analysis, non autonomous Kolmogorov equations, Ornstein-Ulhenbeck semigroup.

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