(Geometric Flows and Geometric Operators) GFO in Pisa
timetable:
Thu 2 Jul, 15:15 - 16:00, Aula Dini
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Uniqueness for the (poly-)harmonic map heat flow
speaker: Melanie Rupflin (University of Warwick)abstract: We consider the issue of uniqueness of weak solutions of the harmonic as well as the more general extrinsic polyharmonic map flows in their critical dimensions. We show that weak solutions are uniquely determined by their initial condition assuming that no instant energy gain of a certain quantum occurs. This then allows to conclude that (under a weak apriori regularity assumption on the energy function) any nonuniqueness is due to backwards bubbling.
timetable:
Thu 2 Jul, 15:15 - 16:00, Aula Dini
<< Go back