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arXiv · 2402.12651

Null controllability for stochastic semi-discrete parabolic equations

Qingmei Zhao
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Abstract

In this paper, we present a null controllability result for a class of stochastic semi-discrete parabolic equations. For this purpose, an observability estimate is established for backward stochastic semi-discrete parabolic equations, with an explicit observability constant that depends on the discretization parameter. This estimate is obtained by a new Carleman estimate for backward stochastic semi-discrete parabolic operators.

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Qingmei Zhao. 2024-02-20. Null controllability for stochastic semi-discrete parabolic equations. https://arxiv.org/abs/2402.12651

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