Integro-differential operators and nonlocal diffusion
Fernando Soria (Universidad Autónoma de Madrid)
Abstract: By a nonlocal diffusion equation we mean an evolution problem where the un- known function is not just reverting to its infinitesimal average, but instead it
is influenced by its values at many scales. It is still a diffusion, but trying to revert now to an integral average of its surrounding values. Typical examples in probability arise when considering jump (Levy) processes in optimal control, game theory and finance. The quasi-geostrophic equation for ocean-atmosphere interaction provides a ’simple’ model in fluid dynamics.
In this talk we will present a, by no means exhaustive, survey describing how this theory has evolved in recent years.
classical analysis and ODEsfunctional analysisrepresentation theoryspectral theory
Audience: researchers in the topic
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| Organizers: | Alessandro Monguzzi*, Valentina Casarino, Bianca M. Gariboldi, Stefano Meda |
| *contact for this listing |