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arXiv · 1907.02362

Some refinements of existence results for SPDEs driven by Wiener processes and Poisson random measures

Stefan Tappe
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Abstract

We provide existence and uniqueness of global (and local) mild solutions for a general class of semilinear stochastic partial differential equations driven by Wiener processes and Poisson random measures under local Lipschitz and linear growth (or local boundedness, resp.) conditions. The so-called "method of the moving frame" allows us to reduce the SPDE problems to SDE problems.

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Stefan Tappe. 2019-07-04. Some refinements of existence results for SPDEs driven by Wiener processes and Poisson random measures. https://doi.org/10.1155/2012%2F236327

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