Paracontrolled distributions and singular PDEs
Probability
2017-08-16 v4 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We introduce an approach to study certain singular PDEs which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths. We illustrate its applicability on some model problems like differential equations driven by fractional Brownian motion, a fractional Burgers type SPDE driven by space-time white noise, and a non-linear version of the parabolic Anderson model with a white noise potential.
Cite
@article{arxiv.1210.2684,
title = {Paracontrolled distributions and singular PDEs},
author = {Massimiliano Gubinelli and Peter Imkeller and Nicolas Perkowski},
journal= {arXiv preprint arXiv:1210.2684},
year = {2017}
}
Comments
published version