Paracontrolled quasilinear SPDEs
Probability
2017-11-10 v4
Abstract
We introduce a non-linear paracontrolled calculus and use it to renormalise a class of singular SPDEs including certain quasilinear variants of the periodic two dimensional parabolic Anderson model.
Cite
@article{arxiv.1610.07886,
title = {Paracontrolled quasilinear SPDEs},
author = {M. Furlan and M. Gubinelli},
journal= {arXiv preprint arXiv:1610.07886},
year = {2017}
}
Comments
30 pages. Reworded the introduction, added more details in some key proofs