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Paracontrolled quasilinear SPDEs

Furlan, Marco; Gubinelli, Massimiliano (2019), Paracontrolled quasilinear SPDEs, Annals of Probability, 47, 2, p. 1096-1135. 10.1214/18-AOP1280

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Type
Article accepté pour publication ou publié
Date
2019
Nom de la revue
Annals of Probability
Volume
47
Numéro
2
Éditeur
Institute of Mathematical Statistics
Pages
1096-1135
Identifiant publication
Métadonnées
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Auteur(s)
Furlan, Marco
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Gubinelli, Massimiliano
Hausdorff Center for Mathematics and Institute for Numerical Simulation - University of Bonn
Résumé (EN)
We introduce a non-linear paracontrolled calculus and use it to renor-malise a class of singular SPDEs including certain quasilinear variants of the periodic two dimensional parabolic Anderson model.
Mots-clés
SPDEs; Anderson model; Paracontrolled distributions; paraproducts; Quasilinear SPDEs