Event Details
Title: Spectral analysis of semigroups in Banach spaces and Fokker-Planck equations
Speaker: Stéphane Mischler, Université Paris-Dauphine (France)
Abstract: The aim of the talk is twofold: 1. On the one hand, we aim to revisit the spectral analysis of semigroups in a general Banach space setting. We present some new and more general versions of classical results such as the spectral mapping theorem, (quantified) Weyl's Theorems and the Krein-Rutman Theorem. The results apply to a wide and natural class of generators which split as a dissipative part plus a more regular part. The approach relies on some factorization and summation arguments reminiscent of the Dyson-Phillips series. 2. On the other hand, we motivate and illustrate our abstract theory by evolution PDE applications. We will focus here on the application to the long time convergence to the equilibrium of solutions to classical, discrete and kinetic Fokker-Planck equations.
27 October, 12:30, First Floor Seminar Room, IEMath-GR
More information about the Differential Equations Seminar here.
Speaker: Stéphane Mischler, Université Paris-Dauphine (France)
Abstract: The aim of the talk is twofold: 1. On the one hand, we aim to revisit the spectral analysis of semigroups in a general Banach space setting. We present some new and more general versions of classical results such as the spectral mapping theorem, (quantified) Weyl's Theorems and the Krein-Rutman Theorem. The results apply to a wide and natural class of generators which split as a dissipative part plus a more regular part. The approach relies on some factorization and summation arguments reminiscent of the Dyson-Phillips series. 2. On the other hand, we motivate and illustrate our abstract theory by evolution PDE applications. We will focus here on the application to the long time convergence to the equilibrium of solutions to classical, discrete and kinetic Fokker-Planck equations.
27 October, 12:30, First Floor Seminar Room, IEMath-GR
More information about the Differential Equations Seminar here.
