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Asymptotic Growth of Optimal Stabilization Prefactors for the Schrödinger Equations
We study the asymptotic behavior of the optimal stabilization prefactor for the free Schrödinger equation, optimized over all bounded stationary linear feedbacks. For a prescribed decay rate $δ>0$, let $\widehat{C}_S(δ)$ denote this optimal prefactor. Assuming that the uncontrolled region contains a
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