Weak differentiability of solutions to SDEs with semi-monotone drifts

نویسندگان

  • M. Tahmasebi Department of Applied Mathematics‎, ‎Faculty of Mathematical Sciences‎, ‎Tarbiat Modares University‎, ‎P.O‎. ‎Box 14115-134‎, ‎Tehran‎, ‎Iran
  • S. Zamani Graduate School of Management and Economics‎, ‎Sharif University of Technology‎, ‎P.O‎. ‎Box 11155-9415‎, ‎Tehran‎, ‎Iran
چکیده مقاله:

‎In this work we prove Malliavin differentiability for the solution to an SDE with locally Lipschitz and semi-monotone drift‎. ‎To prove this formula‎, ‎we construct a sequence of SDEs with globally Lipschitz drifts and show that the $p$-moments of their Malliavin derivatives are uniformly bounded‎.

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weak differentiability of solutions to sdes with semi-monotone drifts

‎in this work we prove malliavin differentiability for the solution to an sde with locally lipschitz and semi-monotone drift‎. ‎to prove this formula‎, ‎we construct a sequence of sdes with globally lipschitz drifts and show that the $p$-moments of their malliavin derivatives are uniformly bounded‎.

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عنوان ژورنال

دوره 41  شماره 4

صفحات  873- 888

تاریخ انتشار 2015-08-01

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