Kinetic Poincaré inequality for higher-order Kolmogorov equations
Let k≥1k\geq 1k≥1, d≥1d\geq 1d≥1, and let u=u(t,x1,…,xk,v)u=u(t,x_1,\dots,x_k,v)u=u(t,x1,…,xk,v) be a nonnegative weak subsolution of … Set … … and define…