Local exact controllability of the \(2D\)-Schrödinger-Poisson system
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Publication:2011983
DOI10.5802/jep.44zbMath1375.35419OpenAlexW2616277349MaRDI QIDQ2011983
Karine Beauchard, Camille Laurent
Publication date: 27 July 2017
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/jep.44
Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
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- A regularity property for Schrödinger equations on bounded domains
- Global exact controllability in infinite time of Schrödinger equation
- Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schrödinger equations
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Simultaneous local exact controllability of 1D bilinear Schrödinger equations
- Internal null controllability of a linear Schrödinger-KdV system on a bounded interval
- Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
- Controllability of the discrete-spectrum Schrödinger equation driven by an external field
- Growth of Sobolev norms and controllability of the Schrödinger equation
- Sharp regularity theory for second order hyperbolic equations of Neumann type. I: \(L_ 2\) nonhomogeneous data
- Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire. (Lacunary series and semi-internal control of vibrations of a rectangular plate)
- Controllability cost of conservative systems: resolvent condition and transmutation
- How violent are fast controls for Schrödinger and plate vibrations?
- Control of the Schrödinger equation
- Bilinear control of high frequencies for a 1D Schrödinger equation
- A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule
- Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum
- Global exact controllability of 1d Schrödinger equations with a polarizability term
- Wigner measures and observability for the Schrödinger equation on the disk
- Local controllability of a 1-D Schrödinger equation
- Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”
- Fast and strongly localized observation for the Schrödinger equation
- Controllability for Distributed Bilinear Systems
- Geometric control in the presence of a black box
- On the Controllability of Quantum Transport in an Electronic Nanostructure
- Mathematical models and methods for ab initio quantum chemistry