Non-local quasilinear singular SPDEs
Analysis of PDEs
2024-05-29 v1 Probability
Abstract
We study in this short note a counterpart to the quasilinear generalized parabolic Anderson model (gPAM) on the 2-dimensional torus where the coefficients are nonlocal functionals of the solution. Under a positivity assumption on the diffusion coefficient we give a local in time solution theory within the framework of paracontrolled calculus.
Cite
@article{arxiv.2405.18057,
title = {Non-local quasilinear singular SPDEs},
author = {I. Bailleul and H. Eulry},
journal= {arXiv preprint arXiv:2405.18057},
year = {2024}
}
Comments
15 pages