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arXiv · 1511.00819

An Internal Observability Estimate for Stochastic Hyperbolic Equations

Xiaoyu Fu·Xu Liu·Qi Lu·Xu Zhang
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Abstract

This paper is addressed to establishing an internal observability estimate for some linear stochastic hyperbolic equations. The key is to establish a new global Carleman estimate for forward stochastic hyperbolic equations in the $L^2$-space. Different from the deterministic case, a delicate analysis of the adaptedness for some stochastic processes is required in the stochastic setting.

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Xiaoyu Fu, Xu Liu, Qi Lu, Xu Zhang. 2016-01-18. An Internal Observability Estimate for Stochastic Hyperbolic Equations. https://arxiv.org/abs/1511.00819

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