Log-Harnack Inequality for Gruschin Type Semigroups

2012/06/04 by Wang, Feng-Yu, Xu, Lihu
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1206.0583

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.

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