Exponential Stability Of Discrete-Time Damped Schrodinger Equation

ADVANCES IN PURE AND APPLIED MATHEMATICS(2021)

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摘要
This article concerns the discrete-time problem of the damped Schrodinger equation in a bounded domain and the internal stabilization problem is considered. We constructed a well-posed discrete-time scheme and we proved the exponential stability. Numerical simulations are presented to illustrate the theoretical results.
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关键词
Damped Schrodinger equation, Stabilizability, Discrete-time scheme, Semi-discrete resolvent
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