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Exact Controllability for Stochastic Schrödinger Equations

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Mathematical Control Theory for Stochastic Partial Differential Equations

Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 101))

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Abstract

This chapter is devoted to showing the exact controllability for stochastic Schrödinger equations by means of two controls, in which one is a boundary control and the other is an internal control acting everywhere in the diffusion term. Based on the duality argument, we solve this controllability problem by employing the global Carleman estimate to derive a suitable observability estimate for the dual equation.

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Correspondence to Qi Lü .

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Lü, Q., Zhang, X. (2021). Exact Controllability for Stochastic Schrödinger Equations. In: Mathematical Control Theory for Stochastic Partial Differential Equations. Probability Theory and Stochastic Modelling, vol 101. Springer, Cham. https://doi.org/10.1007/978-3-030-82331-3_11

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