Optimal bilinear control of the logarithmic Schrödinger equation
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Publication:6140399
DOI10.1002/mma.8840OpenAlexW4308894032MaRDI QIDQ6140399
Binhua Feng, Dun Zhao, Unnamed Author
Publication date: 2 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8840
nonlinear Schrödinger equationobjective functionaloptimal conditionlogarithmic nonlinearitiesoptimal bilinear control
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
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- Optimal bilinear control of nonlinear Hartree equations with singular potentials
- Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation
- Nonlinear Schrödinger equation with time dependent potential
- Multi-bump solutions for logarithmic Schrödinger equations
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogeneous Dirichlet boundary control
- Logarithmic nonlinearity in theories of quantum gravity: origin of time and observational consequences
- Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials
- Functional analysis, Sobolev spaces and partial differential equations
- Global \(H^1\) solvability of the 3D logarithmic Schrödinger equation
- Universal dynamics for the defocusing logarithmic Schrödinger equation
- Optimal nonlinearity control of Schrödinger equation
- Optimal bilinear control of the coupled nonlinear Schrödinger system
- 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
- Stable solutions of the logarithmic Schrödinger equation
- Logarithmic Bose–Einstein condensates with harmonic potential
- Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
- Optimal Bilinear Control of an Abstract Schrödinger Equation
- High-field limit for the Vlasov-Poisson-Fokker-Planck system.
- A logarithmic Schrödinger equation with asymptotic conditions on the potential
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