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On smoothing in non autonomous Ornstein-Uhlenbeck equations in infinite dimensions (2212.05559v6)
Published 11 Dec 2022 in math.AP
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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