Paracontrolled quasilinear SPDEs

Furlan, Marco; Gubinelli, Massimiliano

Furlan, Marco; Gubinelli, Massimiliano (2017), Paracontrolled quasilinear SPDEs. https://basepub.dauphine.fr/handle/123456789/17538

Type

Document de travail / Working paper

External document link

https://hal.archives-ouvertes.fr/hal-01615526

Date

2017

Series title

Cahier de recherche CEREMADE, Université Paris-Dauphine

Metadata

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Author(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

Abstract (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.

Subjects / Keywords

SPDEs; Anderson model