Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations
Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations
We develop a general method to prove the existence of spectral gaps for Markov semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for this analysis is neither a weighted supremum norm nor an ${\L}^p$-type norm, but involves the derivative of the observable as well …