$C$-Distribution semigroups
Volume 185 / 2008
Studia Mathematica 185 (2008), 201-217
MSC: 47D60, 47D62, 47D06.
DOI: 10.4064/sm185-3-1
Abstract
A class of $C$-distribution semigroups unifying the class of (quasi-) distribution semigroups of Wang and Kunstmann (when $C=I$) is introduced. Relations between $C$-distribution semigroups and integrated $C$-semigroups are given. Dense $C$-distribution semigroups as well as weak solutions of the corresponding Cauchy problems are also considered.
