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• W3211434456 abstract "In this paper, the following [Formula: see text]-dimensional distribution-dependent stochastic differential equation driven by a pure jump process is studied: [Formula: see text] where [Formula: see text] denotes the distribution of [Formula: see text]. The differentiability of the map [Formula: see text] is investigated in the sense of [Formula: see text]. By the Malliavin calculus for jump processes, the following Bismut type derivative formula is established, [Formula: see text] where [Formula: see text] is a test function and [Formula: see text] is a random variable depending on the initial value [Formula: see text]. Sharp gradient estimates in short time are also obtained." @default.
• W3211434456 created "2021-11-22" @default.
• W3211434456 creator A5014361084 @default.
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• W3211434456 date "2021-11-06" @default.
• W3211434456 modified "2023-10-14" @default.
• W3211434456 title "Regularity for distribution-dependent SDEs driven by jump processes" @default.
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• W3211434456 doi "https://doi.org/10.1142/s0219493722500113" @default.
• W3211434456 hasPublicationYear "2021" @default.
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