Delocalization of a $(1+1)$-dimensional stochastic wave equation

Jingyu Huang; Davar Khoshnevisan

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arXiv · 1610.07727

Delocalization of a $(1+1)$-dimensional stochastic wave equation

Jingyu Huang·Davar Khoshnevisan

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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.

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Jingyu Huang, Davar Khoshnevisan. 2016-10-25. Delocalization of a $(1+1)$-dimensional stochastic wave equation. https://arxiv.org/abs/1610.07727

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