Im Rahmen des Oberseminars Analysis/Numerik spricht

Herr Dr. Simon Nowak (Universität Bielefeld)

über

ABSTRACT.

We discuss some recent advances concerning the higher regularity theory for nonlinear nonlocal equations.More precisely, for equations related to quadratic nonlocal energy functionals we present pointwise gradient estimates in terms of Riesz potentials of the data, while for equations related to Ws,p-type energies we present similar pointwise estimates below the gradient level. These pointwise estimates lead to fine higher regularity results in many commonlyused function spaces, in the sense that they enable us to detect fine scales that are difficult to reach by more traditional methods.The talk is based on joint works with Lars Diening, Kyeongbae Kim and Ho-Sik Lee.

Der Vortrag findet statt am

Donnerstag, den 18.04.2024 um 14.15 Uhr im Raum W01 0-006

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