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math.AP2022
Control of the Schrödinger equation by slow deformations of the domain
Alessandro Duca, Romain Joly, Dmitry Turaev
The aim of this work is to study the controllability of the Schrödinger equation \begin{equation}\label{eq_abstract} i\partial_t u(t)=-Δu(t)~~~~~\text{ on }Ω(t) \tag{} \end{e…
math.AP2022★ 1 cited
Local exact controllability of the 1D nonlinear Schrödinger equation in the case of Dirichlet boundary conditions
Alessandro Duca, Vahagn Nersesyan
We consider the 1D nonlinear Schrödinger equation with bilinear control. In the case of Neumann boundary conditions, local exact controllability of this equation near the ground st…