Regularity of the Law of Stochastic Differential Equations with Jumps Under Hörmander’s Conditions: The Lent Particle Method
Jiagang Ren () and
Hua Zhang ()
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Jiagang Ren: Sun Yat-Sen University
Hua Zhang: Jiangxi University of Finance and Economics
Journal of Theoretical Probability, 2019, vol. 32, issue 2, 1023-1050
Abstract:
Abstract In this paper, we study the regularity of the laws of stochastic differential equations with jumps using the recently well-developed lent particle method introduced by Bouleau and Denis under some kind of Hörmander’s conditions.
Keywords: Regularity; Density; Hörmander’s condition; Stochastic differential equations; Lévy processes; Poisson functional; Dirichlet form; Gradient; Carré du champ; 60H10; 60G51 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10959-018-0875-4
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