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Acta Applicandae Mathematicae

, Volume 125, Issue 1, pp 193–208 | Cite as

Hyperbolic Type Stochastic Evolution Equations with Lévy Noise

  • Hongbo Fu
  • Jicheng Liu
  • Li Wan
Article

Abstract

The existence and uniqueness of the solutions for a class of hyperbolic type stochastic evolution equations driven by some non-Gaussian Lévy processes are obtained. Moreover, an energy equality for the solutions of the equations is established. As examples, theses results are applied to a couple of stochastic wave type equations with jumps.

Keywords

Hyperbolic type stochastic evolution equations Compensated Poisson random measure Energy equality 

Mathematics Subject Classification (2010)

60H15 35L90 74G25 

Notes

Acknowledgements

We would like to thank Professor Jingqiao Duan for helpful discussions and comments. The research of the authors is supported by China NSF Grant No. 10901065, 11271295.

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Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  1. 1.College of Mathematics and Computer ScienceWuhan Textile UniversityWuhanChina
  2. 2.School of Mathematics and StatisticsHuazhong University of Science and TechnologyWuhanChina

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