Wednesday, January 29, 2020 - 14:00 in V2-210
Schauder theorems for local and nonlocal Ornstein-Uhlenbeck operators on finite and infinite dimensional state spaces
A talk in the Bielefeld Stochastic Afternoon series by
Michael Röckner from Bielefeld
| Abstract: |
We prove maximal regularity results in Hölder and Zygmund spaces for linear stationary and evolution equations driven by a large class of differential and pseudo-differential operators L, both in finite and in infinite dimension. The assumptions are given in terms of the semigroup generated by L. We cover the cases of fractional Laplacians and Ornstein-Uhlenbeck operators with fractional diffusion in finite dimension, and several types of local and nonlocal Ornstein-Uhlenbeck operators, as well as the Gross Laplacian and its negative powers, in infinite dimension.
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