Malliavin calculus for parabolic SPDEs with jumps

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Malliavin calculus for parabolic SPDEs with jumps

We study a parabolic SPDE driven by a white noise and a compensated Poisson measure. We rst de ne the solutions in a weak sense, and we prove the existence and the uniqueness of a weak solution. Then we use the Malliavin calculus in order to show that under some non-degeneracy assumptions, the law of the weak solution admits a density with respect to the Lebesgue measure. To this aim, we introd...

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2000

ISSN: 0304-4149

DOI: 10.1016/s0304-4149(99)00107-6