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Itô Formula for Integral Processes Related to Space-Time Lévy Noise

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DOI: 10.4236/am.2015.610156    2,601 Downloads   3,012 Views Citations

ABSTRACT

In this article, we give a new proof of the Itô formula for some integral processes related to the space-time Lévy noise introduced in [1] [2] as an alternative for the Gaussian white noise perturbing an SPDE. We discuss two applications of this result, which are useful in the study of SPDEs driven by a space-time Lévy noise with finite variance: a maximal inequality for the p-th moment of the stochastic integral, and the Itô representation theorem leading to a chaos expansion similar to the Gaussian case.

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Balan, R. and Ndongo, C. (2015) Itô Formula for Integral Processes Related to Space-Time Lévy Noise. Applied Mathematics, 6, 1755-1768. doi: 10.4236/am.2015.610156.

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