Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting
Probability
2022-06-01 v1
Abstract
We study a wave equation in dimension with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under some conditions imposed on the Gaussian noise. The strategy is to develop some Strichartz type estimates for the wave kernel in weighted Besov spaces, by which we can prove the wellposedness of an associated Young-type equation. Those Strichartz bounds are of independent interest.
Cite
@article{arxiv.2205.15773,
title = {Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting},
author = {Xia Chen and Aurélien Deya and Jian Song and Samy Tindel},
journal= {arXiv preprint arXiv:2205.15773},
year = {2022}
}
Comments
34 pages