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arXiv · 0704.2715

Multidimensional SDE with anticipating initial process and reflection

Zongxia Liang
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Abstract

In this paper, the strong solutions $ (X, L)$ of multidimensional stochastic differential equations with reflecting boundary and possible anticipating initial random variables is established. The key is to obtain some substitution formula for Stratonovich integrals via a uniform convergence of the corresponding Riemann sums and to prove continuity of functionals of $ (X, L)$.

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Zongxia Liang. 2007-04-20. Multidimensional SDE with anticipating initial process and reflection. https://arxiv.org/abs/0704.2715

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