Subexponential decay in kinetic Fokker-Planck equation: Weak hypocoercivity

摘要

We consider here quantitative convergence to equilibrium for the kinetic Fokker-Planck equation. We present a weak hypocoercivity approach a la Villani, using weak Poincare inequality, ensuring subexponential convergence to equilibrium in H-1 sense or in L-2 sense.