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Some Refinements of Existence Results for SPDEs Driven by Wiener Processes and Poisson Random Measures

Stefan Tappe

International Journal of Stochastic Analysis, 2012, vol. 2012, 1-24


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.

Date: 2012
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DOI: 10.1155/2012/236327

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