Local exact controllability of the 2D-Schrödinger-Poisson system
نویسندگان
چکیده
In this article, we investigate the exact controllability of the 2DSchrödinger-Poisson system, which couples a Schrödinger equation on a bounded domain of R with a Poisson equation for the electrical potential. The control acts on the system through a Neumann boundary condition on the potential, locally distributed on the boundary of the space domain. We prove several results, with or without nonlinearity and with di erent boundary conditions on the wave function, of Dirichlet type or of Neumann type.
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