Gradient Bounds for Kolmogorov Type Diffusions

2018/03/04 by Baudoin, Fabrice, Gordina, Maria, Mariano, Phanuel
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1803.01436

Abstract

We study gradient bounds and other functional inequalities for the diffusion semigroup generated by Kolmogorov type operators. The focus is on two different methods: coupling techniques and generalized Γ-calculus techniques. The advantages and drawbacks of each of these methods are discussed.

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