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arxiv: 1107.0096 · v3 · pith:MGVECSGGnew · submitted 2011-07-01 · 🧮 math.PR

Derivative Formula and Applications for Degenerate Diffusion Semigroups

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keywords applicationsdegeneratederivativediffusionsemigroupsbismutcalculusclass
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By using the Malliavin calculus and solving a control problem, Bismut type derivative formulae are established for a class of degenerate diffusion semigroups with non-linear drifts. As applications, explicit gradient estimates and Harnack inequalities are derived.

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