Event Details
Differential Equations Seminar
Title: The superposition of operators of mixed fractional order.
Speaker: Caterina Sportelli (University of Western Australia).
Abstract: In this talk we introduce the superposition operator
\displaystyle \int_{[0,1]}(-\Delta)^s u\, d\mu(s),\qquad\quad (1)
where \mu denotes a (Borel) signed measure on the fractional interval [0, 1]. The signed measure is supposed to possess a positive contribution coming from the higher exponents that overcomes its negative contribution (if any).
We discuss the existence of solutions to certain problems in the presence of the operator (1) , subject to different boundary conditions.
These results are part of some joint works with Serena Dipierro, Enrico Valdinoci and Edoardo Proietti Lippi.
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