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Applied Analysis
Seminar information archive ～09/10｜Next seminar｜Future seminars 09/11～
| Date, time & place | Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.) |
|---|
2023/02/22
16:00-17:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Alessio Porretta (University of Rome Tor Vergata)
Long time decay of Fokker-Planck equations with confining drift (ENGLISH)
https://forms.gle/SCyZWtfC5bNGadxE8
Alessio Porretta (University of Rome Tor Vergata)
Long time decay of Fokker-Planck equations with confining drift (ENGLISH)
[ Abstract ]
The convergence to equilibrium of Fokker-Planck equations with confining drift is a classical issue, starting with the basic model of the Ornstein-Uhlenbeck process. I will discuss a new approach to obtain estimates on the time decay rate, which applies to both local and nonlocal diffusions. This is based on duality arguments and oscillation estimates for transport-diffusion equations, which are reminiscent of coupling methods used in probabilistic approaches.
[ Reference URL ]The convergence to equilibrium of Fokker-Planck equations with confining drift is a classical issue, starting with the basic model of the Ornstein-Uhlenbeck process. I will discuss a new approach to obtain estimates on the time decay rate, which applies to both local and nonlocal diffusions. This is based on duality arguments and oscillation estimates for transport-diffusion equations, which are reminiscent of coupling methods used in probabilistic approaches.
https://forms.gle/SCyZWtfC5bNGadxE8
