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Classical solutions of fragmentation-coagulation equations with unbounded coagulation rates

Speaker(s)
Jacek Banasiak
Affiliation
KwaZulu-Natal, Durban
Date
March 21, 2012, 4:15 p.m.
Room
room 5820
Seminar
Seminar of Biomathematics and Game Theory Group

So far fragmentation-coagulation equations with strong coagulation have been analysed using weak compactness techniques which only yielded weak solutions. Recently we have proved that the fragmentation operator is sectorial which, combined with some interpolation techniques, allowed for proving classical solvability of such equations for large classes of fragmentation and coagulation rates.