3 papers
math.AP2026
Nonlinear Diffusion Equations: Full characterization of Entropies
Anton Arnold, Jose A. Carrillo, Daniel Matthes
This paper is concerned with the large-time behavior of quasilinear Fokker-Planck equations with confinement on the whole space . It aims at characterizing all relati…
math.AP2026
Long time behavior of Fokker-Planck equations for bosons and fermions
Anton Arnold, Marlies Pirner, Gayrat Toshpulatov
This paper is concerned with space inhomogeneous quantum Fokker-Planck equations posed on a classical kinetic phase space. The nonlinear factor appears both in the tran…
math.AP2024
Trend to equilibrium and hypoelliptic regularity for the relativistic Fokker-Planck equation
Anton Arnold, Gayrat Toshpulatov
We consider the relativistic, spatially inhomogeneous Fokker-Planck equation with an external confining potential. We prove the exponential time decay of solutions towards the glob…