Bismut Formulae and Applications for Functional SPDEs

Details Bismut Formulae and Applications for Functional SPDEs Bismut Formulae and Applications for Functional SPDEs

2011-10-24

arxiv.org/abs/1110.5150v1

Mathematics

Probability

14 pages

Scientific paper

By using Malliavin calculus, explicit derivative formulae are established for a class of semi-linear functional stochastic partial differential equations with additive or multiplicative noise. As applications, gradient estimates and Harnack inequalities are derived for the semigroup of the associated segment process. Keywords: Bismut formula, Malliavin calculus, gradient estimate, Harnack inequality, functional SPDE

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