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arxiv: 1208.5094 · v1 · pith:IDGTG6L2new · submitted 2012-08-25 · 🧮 math.PR

Harnack Inequalities for Stochastic (Functional) Differential Equations with Non-Lipschitzian Coefficients

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keywords coefficientsdifferentialequationsfunctionalharnackinequalitiesnon-lipschitzianstochastic
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By using coupling arguments, Harnack type inequalities are established for a class of stochastic (functional) differential equations with multiplicative noises and non-Lipschitzian coefficients. To construct the required couplings, two results on existence and uniqueness of solutions on an open domain are presented.

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