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5 Giugno, 2024 15:00
Sezione di Probabilità e Statistica Matematica

McKean-Vlasov SPDEs

Martin Kolodziejczyk, Politecnico di Milano

We consider McKean-Vlasov Stochastic Partial Differential Equations with additive noise. We will focus on their well-posedness and long-time behaviour; showing that, under some assumptions on the spatial regularity of the noise, these SPDEs are well-posed and the semigroup resulting from them is strong Feller and irreducible.
This is based on joint work with L. Angeli, J. Barrè and M. Ottobre.