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Harnack and log Harnack Inequalities for $G$-SDEs with Multiplicative Noise

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 نشر من قبل Fenfen Yang
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف Fen-Fen Yang




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The Harnack and log Harnack inequalities for stochastic differential equation driven by $G$-Brownian motion with multiplicative noise are derived by means of coupling by change of mesure. All of the above results extend the existing ones in the linear expectation setting. Moreover, the gradient estimate generalize the nonlinear results appeared in [11].

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