Absolute continuity of the solution to the stochastic Burgers equation
Probability
2021-03-08 v1 Analysis of PDEs
Abstract
We prove the existence and the Besov regularity of the density of the solution to a general parabolic SPDE which includes the stochastic Burgers equation on an unbounded domain. We use an elementary approach based on the fractional integration by parts.
Cite
@article{arxiv.2103.03812,
title = {Absolute continuity of the solution to the stochastic Burgers equation},
author = {Christian Olivera Ciprian Tudor},
journal= {arXiv preprint arXiv:2103.03812},
year = {2021}
}