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Derivative Formula and Harnack Inequality for Linear SDEs Driven by L\'evy Processes

By Feng-Yu Wang

Abstract

By using lower bound conditions of the L\'evy measure, derivative formulae and Harnack inequalities are derived for linear stochastic differential equations driven by L\'evy processes. As applications, explicit gradient estimates and heat kernel inequalities are presented. As byproduct, a new Girsanov theorem for L\'evy processes is derived.Comment: 25 page

Topics: Mathematics - Probability
Year: 2013
DOI identifier: 10.1080/07362994.2013.836976
OAI identifier: oai:arXiv.org:1104.5531
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