Delocalization of a $(1+1)$-dimensional stochastic wave equation
Jingyu Huang, Davar Khoshnevisan · arXiv (Cornell University) · 2016
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.