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Smoothness of density for stochastic differential equations with Markovian switching
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math.PR
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densitydifferentialequationsmarkoviansmoothnessstochasticswitchingtype
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This paper is concerned with a class of stochastic differential equations with Markovian switching. The Malliavin calculus is used to study the smoothness of the density of the solution under a H\"{o}rmander type condition. Furthermore, we obtain a Bismut type formula which is used to establish the strong Feller property.
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