Schauder theorems for stationary and evolution equations driven by differential and pseudo-differential operators

Venue: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
At: 11:30

Speaker:

• Alessandra Lunardi (Università di Parma)

Abstract:
I will talk about maximal regularity results in Holder 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 Ornstein-Uhlenbeck operators, as well as the Gross Laplacian and its negative powers, in infinite dimension.

Contact person: Stefano Bonaccorsi