Gradient Bounds for Kolmogorov Type Diffusions
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 $\Gamma$-calculus techniques. The advantages and drawbacks of each of these methods are discussed.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2018
- DOI:
- 10.48550/arXiv.1803.01436
- arXiv:
- arXiv:1803.01436
- Bibcode:
- 2018arXiv180301436B
- Keywords:
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- Mathematics - Probability;
- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry
- E-Print:
- 30 pages