Acta Applicandae Mathematicae

, Volume 125, Issue 1, pp 193–208

Hyperbolic Type Stochastic Evolution Equations with Lévy Noise

Article

DOI: 10.1007/s10440-012-9787-y

Cite this article as:
Fu, H., Liu, J. & Wan, L. Acta Appl Math (2013) 125: 193. doi:10.1007/s10440-012-9787-y

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 

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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