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arXiv · 2111.05421

Smoothing effects and maximal H\"older regularity for non-autonomous Kolmogorov equations in infinite dimension

Sandra Cerrai·Alessandra Lunardi
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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.

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Sandra Cerrai, Alessandra Lunardi. 2021-11-09. Smoothing effects and maximal H\"older regularity for non-autonomous Kolmogorov equations in infinite dimension. https://arxiv.org/abs/2111.05421

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