Smooth densities for SDEs driven by subordinated Brownian motion with Markovian switching

Xiaobin Sun; Yingchao Xie

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arXiv · 1410.5913

Smooth densities for SDEs driven by subordinated Brownian motion with Markovian switching

Xiaobin Sun·Yingchao Xie

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Abstract

In this paper we consider a class of stochastic differential equations driven by subordinate Brownian motion with Markovian switching. We use Malliavin calculus to study the smoothness of the density for the solution under uniform H\"ormander's type condition.

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Xiaobin Sun, Yingchao Xie. 2014-10-22. Smooth densities for SDEs driven by subordinated Brownian motion with Markovian switching. https://arxiv.org/abs/1410.5913

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