Path-by-path regularization by noise for scalar conservation laws
Analysis of PDEs
2017-08-03 v1 Probability
Abstract
We prove a path-by-path regularization by noise result for scalar conservation laws. In particular, this proves regularizing properties for scalar conservation laws driven by fractional Brownian motion and generalizes the respective results obtained in [Gess, Souganidis; Comm. Pure Appl. Math. (2017)]. In addition, we introduce a new path-by-path scaling property which is shown to be sufficient to imply regularizing effects.
Keywords
Cite
@article{arxiv.1708.00823,
title = {Path-by-path regularization by noise for scalar conservation laws},
author = {Khalil Chouk and Benjamin Gess},
journal= {arXiv preprint arXiv:1708.00823},
year = {2017}
}
Comments
21 pages