APDE seminar @UPV/EHU: The Cauchy-Dirichlet Problem for singular nonlocal diffusions on bounded domains
Data: Og, Ots 20 2025
Ordua: 12:00 - 13:00
Lekua: UPV/EHU
Hizlariak: Mikel Ispizua (UPV/EHU)
Abstract
We will discuss about homogeneous Cauchy-Dirichlet Problem for a nonlocal fast diffusion equation posed on a bounded Euclidean domain. The prototype equation is the "Fractional Fast Diffusion Equation", when L is one of the three possible Dirichlet Fractional Laplacians on Ω. The main results shall provide a complete basic theory for solutions to (CDP): existence and uniqueness in the biggest class of data known so far; sharp smoothing estimates; extinction rates and regularity of solutions.
Antolatzaileak:
APDE Bilbao (BCAM & UPV/EHU)
Hizlari baieztatuak:
Mikel Ispizua (UPV/EHU)
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