Hyperbolic Type Stochastic Evolution Equations with Lévy Noise
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- Fu, H., Liu, J. & Wan, L. Acta Appl Math (2013) 125: 193. doi:10.1007/s10440-012-9787-y
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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.