Yamada-Watanabe results for stochastic differential equations with jumps

Matyas Barczy; Zenghu Li; Gyula Pap

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arXiv · 1312.4485

Yamada-Watanabe results for stochastic differential equations with jumps

Matyas Barczy·Zenghu Li·Gyula Pap

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Abstract

Recently, Kurtz (2007, 2014) obtained a general version of the Yamada-Watanabe and Engelbert theorems relating existence and uniqueness of weak and strong solutions of stochastic equations covering also the case of stochastic differential equations with jumps. Following the original method of Yamada and Watanabe (1971), we give alternative proofs for the following two statements: pathwise uniqueness implies uniqueness in the sense of probability law, and weak existence together with pathwise uniqueness imply strong existence for stochastic differential equations with jumps.

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BibTeX RIS

Matyas Barczy, Zenghu Li, Gyula Pap. 2013-12-16. Yamada-Watanabe results for stochastic differential equations with jumps. https://arxiv.org/abs/1312.4485

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