Log-Harnack Inequality for Gruschin Type Semigroups

Abstract

By constructing a coupling in two steps and using the Girsanov theorem under a regular conditional probability, the log-Harnack inequality is established for a large class of Gruschin type semigroups whose generator might be both degenerate and non-Lipschitzian.

14 pages

References in corpus (3)

• Harnack Inequalities for Functional SDEs with Multiplicative Noise and Applications
• On gradient bounds for the heat kernel on the Heisenberg group
• Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups