ICTP Mathematics Seminar - Thursday, 5 December, at 16:00 (Oliver Dragicevic)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Thursday 5 December, at 16:00 hrs.


Speaker: Oliver Dragicevic (University of Ljubljana)


Title: Generalized convexity of power functions


Abstract: We study elliptic partial differential operators in divergence 
form on open sets in R^n and associated with complex uniformly strictly 
accretive matrices. We present several results for such operators, the 
central being the so-called bilinear embedding theorem. The proof of 
this theorem is a combination of heat flows and Bellman functions, and 
leads to a new concept of convexity of power functions |z|^p for complex 
z and associated with accretive matrices. This concept turns out to be a 
generalization of the classical ellipticity condition and seems to be 
well suited for the study of elliptic PDE on L^p spaces.

The talk is based on collaboration with Andrea Carbonaro (U. Genova)


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)


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Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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