Some Refinements of Existence Results for SPDEs Driven by Wiener Processes and Poisson Random Measures. (25th December 2012)

• Record Type: Journal Article
• Authors: Tappe, Stefan
• Other Names: Srivástava Hari Mohan Academic Editor.
• Is Part Of: International journal of stochastic analysis. Volume 2012(2012)
• Publication Date: 2012-12-25
• Subjects: Stochastic analysis -- Periodicals; Stochastic analysis; Periodicals; 519.22
• DOI: 10.1155/2012/236327
• Languages: English
• ISSNs: 2090-3332

Abstract

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.