Paracontrolled distributions and the 3-dimensional stochastic quantization equation.

Authors
Catellier, Rémi Chouk, Khalil
Citation
Catellier, Rémi et Chouk, Khalil, Paracontrolled distributions and the 3-dimensional stochastic quantization equation., Annals of probability (Online) , 46(5), 2018, pp. 2621-2679
Journal title
Annals of probability (Online) → ACNP
ISSN journal
2168894X
Volume
46
Issue
5
Year of publication
2018
Pages
2621 - 2679
Database
ACNP
SICI code
Abstract
We prove the existence and uniqueness of a local in time solution to the periodic .43 model of stochastic quantisation using the method of paracontrolled distributions introduced recently by M. Gubinelli, P. Imkeller and N. Perkowski in [Forum Math., Pi 3 (2015) e6].