Evolution semigroups for nonautonomous Cauchy problems

In this paper, we characterize wellposedness of nonautonomous, linear Cauchy problems (NCP)  {u˙(t)=A(t)u(t)u(s)=x∈X on a Banach space X by the existence of certain evolution semigroups.

Bibliographic Details
Main Author: Gregor Nickel
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:Abstract and Applied Analysis
Subjects:
Online Access:http://dx.doi.org/10.1155/S1085337597000286