Optimal bilinear control of the coupled nonlinear Schrödinger system
DOI10.1016/j.nonrwa.2018.10.010zbMath1408.49004OpenAlexW2902494804MaRDI QIDQ1729258
Publication date: 27 February 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.10.010
coupled nonlinear Schrödinger systemFréchet-differentiabilityoptimal conditionoptimal bilinear control
Optimality conditions for problems involving partial differential equations (49K20) Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)
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Cites Work
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- The analysis and geometry of Hardy's inequality
- \(L^2\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Continuous dependence for NLS in fractional order spaces
- Collapse in coupled nonlinear Schrödinger equations: sufficient conditions and applications
- Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials
- Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control
- A Schrödinger equation with time-oscillating nonlinearity
- Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control
- Optimal Bilinear Control of Gross--Pitaevskii Equations
- Remote controlling the dynamics of Bose–Einstein condensates through time-dependent atomic feeding and trap
- Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval
- A sharp threshold of blow-up for coupled nonlinear Schrödinger equations
- Blow-up profile to the solutions of two-coupled Schrödinger equations
- Quantum control of Bose–Einstein condensates using Feshbach resonance
- Sharp thresholds of global existence and blowup for a system of Schrödinger equations with combined power-type nonlinearities
- Scattering for a 3D coupled nonlinear Schrödinger system
- Blow-up profile of Bose-Einstein condensate with singular potentials
- Global existence for a coupled system of Schrödinger equations with power-type nonlinearities
- ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING
- On the blow-up threshold for weakly coupled nonlinear Schrödinger equations
- Optimal Bilinear Control of an Abstract Schrödinger Equation
- Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system
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