A characterization of well-posedness for abstract Cauchy problems with finite delay

In this talk, we characterize the mildly well-posedness of the first order abstract Cauchy problem with finite delay, solely in terms of a strongly continuous one-parameter family of bounded linear operators that satisfies a novel functional equation. In the case that the delay operator is null, this property is reduced to characterize the well-posedness of the first order abstract Cauchy problem in terms of the Abel’s functional equation that satisfies a C0- semigroup.

 

Date: Jun 04, 2018 at 16:10 h
Venue: Sala de seminarios Felipe Álvarez Daziano, 5to. piso del DIM, U. de Chile, Torre Norte de Beauchef 851
Speaker: Felipe Poblete
Affiliation: Universidad Austral
Coordinator: Prof. Claudio Muñoz
Abstract:
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Posted on May 29, 2018 in CAPDE, Seminars