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arXiv · 2112.15196

Exact boundary controllability of the linear Biharmonic Schr\"odinger equation with variable coefficients

Kaïs Ammari·Hedi Bouzidi
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Abstract

In this paper, we study the exact boundary controllability of the linear fourth-order Schr\"odinger equation, with variable physical parameters and clamped boundary conditions on a bounded interval. The control acts on the first spatial derivative at the left endpoint. We prove that this control system is exactly controllable at any time $T>0$. The proofs are based on a detailed spectral analysis and on the use of nonharmonic Fourier series.

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Kaïs Ammari, Hedi Bouzidi. 2021-12-30. Exact boundary controllability of the linear Biharmonic Schr\"odinger equation with variable coefficients. https://arxiv.org/abs/2112.15196

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