Local integrated -semigroups
Tom 145 / 2001
Studia Mathematica 145 (2001), 265-280
MSC: 47D62, 47D60, 47D06, 47D03.
DOI: 10.4064/sm145-3-6
Streszczenie
We introduce the notion of a local n-times integrated C-semigroup, which unifies the classes of local C-semigroups, local integrated semigroups and local C-cosine functions. We then study its relations to the C-wellposedness of the (n+1)-times integrated Cauchy problem and second order abstract Cauchy problem. Finally, a generation theorem for local n-times integrated C-semigroups is given.
