On continuity in parameters of integrated semigroups

Pages: 403 - 412, Issue Special, July 2003

 Abstract        Full Text (159.2K)              

Min He - Department of Mathematical Sciences, Kent State University-Trumbull Campus, Warren, Ohio 44483, United States (email)

Abstract: Considering a family of non-densely defined Hille-Yosida operators A($\epsilon$), we discuss continuity in a multi-parameter $\epsilon$ of integrated semigroup S(t, $\epsilon$) generated by A($\epsilon$). Recent developed theorems are given for determining continuity in parameters of integrated semigroup on the entire space. The obtained results are effectively and conveniently employed for some hyperbolic and parabolic types of equations.

Keywords:  Integrated semigroup, Parameter, Continuity.
Mathematics Subject Classification:  47D62, 35L20.

Received: September 2002;      Revised: March 2003;      Published: April 2003.