2 papers
math.AP2024
Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling
Martin Kolodziejczyk, Michela Ottobre, Gideon Simpson
This paper is concerned with the problem of counting solutions of stationary nonlinear Partial Differential Equations (PDEs) when the PDE is known to admit more than one solution.…
math.PR2022
Well-posedness and stationary solutions of McKean-Vlasov (S)PDEs
Letizia Angeli, Julien Barré, Martin Kolodziejczyk +1
This paper is composed of two parts. In the first part we consider McKean-Vlasov Partial Differential Equations (PDEs), obtained as thermodynamic limits of interacting particle sys…