C-maximal regularity and C-admissibility for semigroups on locally convex spaces

Activity: Talk or presentationOral presentation

Description

In this talk we consider C-maximal regularity and C-admissibility for strongly continuous locally equicontinuous semigroups on sequentially complete locally convex Hausdorff spaces. The C here stands for continuous and describes the regularity of the inhomogeneity of an abstract Cauchy problem of first order involving the generator of a strongly continuous locally equicontinuous semigroup. We show that C-maximal regularity and the a priori weaker C-admissibility are equivalent for such semigroups on certain classes of locally convex Hausdorff spaces.

This contribution is a joint work with Felix L. Schwenninger.
Period14 Aug 2024
Event title35th International Workshop on Operator Theory and its Applications, IWOTA 2024
Event typeConference
Conference number35
LocationCanterbury, United KingdomShow on map
Degree of RecognitionInternational