Hypocoercivity with Schur complements

We propose an approach to obtaining explicit estimates on the resolvent of hypocoercive operators by using Schur complements, rather than from exponential decay evolution semigroup combined with a time integral. present applications Langevin-like dynamics and Fokker–Planck equations, as well linear Boltzmann equation (which is also generator randomized Hybrid Monte Carlo in molecular dynamics). In particular, we make precise dependence bounds parameters dimension. highlight relationship our method other approaches.