Special weak Dirichlet processes and BSDEs driven by a random measure

Elena Bandini; Francesco Russo

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arXiv · 1512.06234

Special weak Dirichlet processes and BSDEs driven by a random measure

Elena Bandini·Francesco Russo

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Abstract

This paper considers a forward BSDE driven by a random measure, when the underlying forward process X is special semimartingale, or even more generally, a special weak Dirichlet process. Given a solution (Y, Z, U), generally Y appears to be of the type u(t, X\_t) where u is a deterministic function. In this paper we identify Z and U in terms of u applying stochastic calculus with respect to weak Dirichlet processes.

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BibTeX RIS

Elena Bandini, Francesco Russo. 2016-12-17. Special weak Dirichlet processes and BSDEs driven by a random measure. https://arxiv.org/abs/1512.06234

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