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.
Period
19 Jun 2025
Event title
International Workshop on Functional Analysis on the Occasion of the 70th Birthday of José Bonet 2025