CONTROL AND STABILIZATION OF THE NONLINEAR SCHRÖDINGER EQUATION ON RECTANGLES
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Publication:3070051
DOI10.1142/S0218202510004933zbMath1206.93018arXiv1002.1126MaRDI QIDQ3070051
Publication date: 2 February 2011
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.1126
exponential stabilizationSchrödinger equationexact boundary controllabilityBourgain spacesexact internal controllability
Controllability (93B05) Stabilization of systems by feedback (93D15) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
- Unnamed Item
- Unnamed Item
- Controllability of a quantum particle in a moving potential well
- Null controllability of the complex Ginzburg-Landau equation
- Exact boundary controllability of the nonlinear Schrödinger equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- An inverse problem for a time-dependent Schrödinger operator in an unbounded strip
- How violent are fast controls for Schrödinger and plate vibrations?
- Stabilization and control for the nonlinear Schrödinger equation on a compact surface
- Constructive solution of a bilinear optimal control problem for a Schrödinger equation
- A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator
- Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control
- Local controllability of a 1-D Schrödinger equation
- Lyapunov control of bilinear Schrödinger equations
- Observability and Control of Schrödinger Equations
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- On the controllability and stabilization of the linearized Benjamin-Ono equation
- Limitations on the control of Schrödinger equations
- Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval
- Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
- Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state
- Controllability for Distributed Bilinear Systems
- A General Theory of Observation and Control
- Exact Controllability for the Schrödinger Equation
- Locally Distributed Control and Damping for the Conservative Systems
- Fourier Series in Control Theory
- Exact controllability and stabilizability of the Korteweg-de Vries equation
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Quadratic forms for the 1-D semilinear Schrödinger equation
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
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