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Malliavin calculus for regularity structures: The case of gPAM

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Date
2017
Link to item file
https://arxiv.org/abs/1511.08888v1
Dewey
Analyse
Sujet
Regularity structures; Malliavin calculus; Generalized parabolic Anderson model; Singular SPDEs
Journal issue
Journal of Functional Analysis
Volume
272
Number
1
Publication date
2017
Article pages
363-419
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.jfa.2016.09.024
URI
https://basepub.dauphine.fr/handle/123456789/16352
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Cannizzaro, G.
Friz, Peter K.
Gassiat, Paul
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
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.

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