Delocalization of a $(1+1)$-dimensional stochastic wave equation
Probability
2016-10-26 v1
Abstract
A noteworthy property of many parabolic stochastic PDEs is that they locally linearize (Foondun, Khoshnevisan and Mahboubi (2015), Hairer (2013, 2014), Hairer and Pardoux (2015), Khoshnevisan, Swanson, Xiao and Zhang (2013)). We prove that, by contrast, a large family of stochastic wave equations in dimension one do not possess this important property.
Keywords
Cite
@article{arxiv.1610.07727,
title = {Delocalization of a $(1+1)$-dimensional stochastic wave equation},
author = {Jingyu Huang and Davar Khoshnevisan},
journal= {arXiv preprint arXiv:1610.07727},
year = {2016}
}