Oberseminar Funktionalanalysis und partielle Differentialgleichungen
Dez 42025
14:00
Raum 711 groß
Sven Jarohs (Frankfurt): On a class of (non)local superposition operators of arbitrary order
The superposition of operators of different order has been
a general interest reaching from purely nonlocal interactions
described by the sum of fractional Laplacians with different order,
mixed local-nonlocal type operators or purely local operators such as
the sum of the Laplacian and the bilaplacian. In this talk, I present
a general variational framework, which will contain a broad class of
Lévy-type operators and which will also include higher-order
operators like the polylaplacian. More generally, the present
framework will allow to study operators of possible infinite order.
The latter will lead to a classification of measures on [0,∞) with
unbounded support. The talk is based on a joined project with Serena
Dipierro and Enrico Valdinoci.
