A simple proof of the support theorem for diffusion processes

A simple proof of the support theorem for diffusion processes
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DOI:
10.1007/bfb0073832
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发表时间:
1994
期刊:
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影响因子:
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通讯作者:
A. Millet;M. Sanz-Solé
A. Millet;M. Sanz-Solé
中科院分区:
其他
文献类型:
--
作者:
A. Millet;M. Sanz-Solé

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设W表示一个d维标准Wiener过程,a:IRm-T IRm I8 i IRd和B:IRm-T IRm满足下列条件(H)a是C2类的,与它的一阶和二阶偏导数一起有界,B是全局Lipschitz有界的.对任意x ∈ IRm,设(Xt,t ∈ [0,1])为随机微分方程的扩散解
Let W denote a d-dimensional standard Wiener process, a: IRm----T IRm I8i IRd and b: IRm----T IRm satisfy the following condition (H) a is of class C2, bounded together with its partial derivative of order one and two, and b is globally Lipschitz and bounded. For any x E IRm, let (Xt, t E [0, 1]) be the diffusion solution ofthe stochastic differential equation