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Analytic fragmentation semigroups and discrete coagulation-fragmentation processes with growth

Speaker(s)
Jacek Banasiak
Affiliation
University of Pretoria
Date
March 22, 2017, 2:15 p.m.
Room
room 4050
Seminar
Seminar of Biomathematics and Game Theory Group

In the talk we shall describe how the substochastic semigroup theory can be used to prove analyticity of a class of fragmentation semigroup. This result is applied to discrete fragmentation processes with growth to analyze their long time behaviour and to prove the existence of classical solutions to equations describing such processes combined with coagulation.