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.
Period24 May 2024
Event titleJoint workshop of the GAMM Activity Group Applied Operator Theory and the Bremen-Hamburg²-Kiel-Oldenburg Seminar 2024
Event typeWorkshop
LocationHamburg, GermanyShow on map
Degree of RecognitionInternational