Talk by Julio D. Rossi

On June 30th, 2021, Prof. Dr. Julio D. Rossi (Universidad de Buenos Aires) gave a talk about "Convexity and its associated equation" as part of the research seminar Analysis of the FernUniversität in Hagen.

Abstract

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Our goal in this talk is to look at the notion of convexity and the equations associated with the convex envelope of a partial datum in different contexts.

In the first part of this talk we describe with PDEs given in terms of eigenvalues of the Hessian and their relation with classical concave/convex functions. Next, we will introduce a fractional version of the involved ideas.

In the second part we will describe a notion of convexity for functions defined on a regular tree and on a compact metric graph.

Based on joint works with P. Blanc, N. Frevenza, L. Del Pezzo and Alexander Quaas.

Video of the talk

Liza Schonlau | 28.01.2023