Revista Matemática Iberoamericana

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Volume 30, Issue 2, 2014, pp. 405–418
DOI: 10.4171/RMI/786

Published online: 2014-07-08

Log-Harnack inequality for Gruschin type semigroups

Feng-Yu Wang[1] and Lihu Xu[2]

(1) Beijing Normal University, China
(2) University of Macau, China

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-Lipschitz.

Keywords: Gruschin semigroup, log-Harnack inequality, coupling, regular conditional probability

Wang Feng-Yu, Xu Lihu: Log-Harnack inequality for Gruschin type semigroups. Rev. Mat. Iberoam. 30 (2014), 405-418. doi: 10.4171/RMI/786