4 papers
Interacting particles in random irregular media
Luca Bondi, Elena Issoglio, Francesco Russo
In this paper, we first develop novel tools of independent interest in the field of stochastic calculus related to SDEs with distributional drift, namely the formulation of a quasi…
A non-local singular non-linear Fokker-Planck PDE
Luca Bondi, Elena Issoglio, Francesco Russo
The focus of this paper is a non-local singular non-linear Fokker-Planck partial differential equation (PDE). The peculiarity of this PDE feature is in its divergence coefficient,…
McKean-Vlasov equations with singular coefficients - a review of recent results
Luca Bondi, Elena Issoglio, Francesco Russo
This paper focuses on recent works on McKean-Vlasov stochastic differential equations (SDEs) involving singular coefficients. After recalling the classical framework, we review exi…
Degenerate McKean-Vlasov equations with drift in anisotropic negative Besov spaces
Elena Issoglio, Stefano Pagliarani, Francesco Russo +1
The paper is concerned with a McKean-Vlasov type SDE with drift in anisotropic Besov spaces with negative regularity and with degenerate diffusion matrix under the weak H{ö}rmander…