On the bilinear control of the Gross-Pitaevskii equation
From MaRDI portal
Publication:2179478
DOI10.1016/j.anihpc.2020.01.001zbMath1437.35681arXiv1810.09792OpenAlexW2999750607MaRDI QIDQ2179478
Laurent Thomann, Thomas Chambrion
Publication date: 12 May 2020
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09792
Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs in connection with control and optimization (35Q93)
Related Items (2)
Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture ⋮ A remark on the attainable set of the Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equation with time dependent potential
- Global exact controllability in infinite time of Schrödinger equation
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Local controllability and non-controllability for a 1D wave equation with bilinear control
- A construction of the fundamental solution for the Schrödinger equation
- On some Schrödinger and wave equations with time dependent potentials
- Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials
- Euler equations are not exactly controllable by a finite-dimensional external force
- Controllability of partial differential equations governed by multiplicative controls
- Controllability of the discrete-spectrum Schrödinger equation driven by an external field
- Controllability of the cubic Schroedinger equation via a low-dimensional source term
- Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
- Bilinear control of high frequencies for a 1D Schrödinger equation
- Optimal bilinear control of nonlinear Schrödinger equations with singular potentials
- Local controllability of a 1-D Schrödinger equation
- Local exact bilinear control of the Schrödinger equation
- Optimal Bilinear Control of Gross--Pitaevskii Equations
- Local Exact Controllability of a One-Dimensional Nonlinear Schrödinger Equation
- Limitations on the control of Schrödinger equations
- Generic Controllability Properties for the Bilinear Schrödinger Equation
- Controllability for Distributed Bilinear Systems
- Remarks on the Gibbs measures for nonlinear dispersive equations
- A Topological Obstruction to the Controllability of Nonlinear Wave Equations with Bilinear Control Term
- Controllability of Quantum Harmonic Oscillators
- Weakly Coupled Systems in Quantum Control
This page was built for publication: On the bilinear control of the Gross-Pitaevskii equation