Article ID Journal Published Year Pages File Type
4589524 Journal of Functional Analysis 2017 57 Pages PDF
Abstract

Malliavin calculus is implemented in the context of Hairer (2014) [16]. This involves some constructions of independent interest, notably an extension of the structure which accommodates a robust, and purely deterministic, translation operator, in L2L2-directions, between “models”. In the concrete context of the generalized parabolic Anderson model in 2D – one of the singular SPDEs discussed in the afore-mentioned article – we establish existence of a density at positive times.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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