Quasilinear generalized parabolic Anderson model equation
Analysis of PDEs
2016-11-28 v2
Abstract
We present in this note a local in time well-posedness result for the singular -dimensional quasilinear generalized parabolic Anderson model equation The key idea of our approach is a simple transformation of the equation which allows to treat the problem as a semilinear problem. The analysis is done within the elementary setting of paracontrolled calculus.
Cite
@article{arxiv.1610.06726,
title = {Quasilinear generalized parabolic Anderson model equation},
author = {Ismael Bailleul and Arnaud Debussche and Martina Hofmanova},
journal= {arXiv preprint arXiv:1610.06726},
year = {2016}
}