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arXiv · 2504.09262

Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls

Zengyu Li·Zhonghua Liao·Qi Lü
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Abstract

We establish the internal exact controllability of a refined stochastic hyperbolic equation by deriving a suitable observability inequality via Carleman estimates for the associated backward stochastic hyperbolic equation. In contrast to existing results on boundary exact controllability--which require longer waiting times, we demonstrate that the required waiting time for internal exact controllability in stochastic hyperbolic equations coincides exactly with that of their deterministic counterparts.

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Zengyu Li, Zhonghua Liao, Qi Lü. 2025-04-12. Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls. https://arxiv.org/abs/2504.09262

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