Degenerate $C$-ultradistribution semigroups in locally convex spaces

10 Oct 2016 · Kostić Marko, Pilipović Stevan, Velinov Daniel ·

The main subject in this paper are degenerate $C$-ultradistribution semigroups in barreled sequentially complete locally convex spaces. Here, the regularizing operator $C$ is not necessarily injective and the infinitesimal generator is multivalued linear operator. We also consider exponential degenerate $C$-ultradistribution semigroups.