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math.AP2026
Mean Field Games in Hilbert Spaces with Degenerate Diffusion: A Viscosity Solution Approach
Andrzej Święch, Lukas Wessels
We study a degenerate second order mean field game (MFG) system in a Hilbert space which couples a Fokker--Planck equation describing the evolution of probability measures on $…
math.AP2024
On Mean Field Games in Infinite Dimension
Salvatore Federico, Fausto Gozzi, Andrzej Święch
We study a Mean Field Games (MFG) system in a real, separable infinite dimensional Hilbert space. The system consists of a second order parabolic type equation, called Hamilton-Jac…
math.AP2020
Viscosity solutions to an initial value problem for a Hamilton--Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons
Tomasz Cieślak, Jakub Siemianowski, Andrzej Święch
We consider an initial value problem for a Hamilton--Jacobi equation with a quadratic and degenerate Hamiltonian. Our Hamiltonian comes from the dynamics of -peakon in the Camas…