Controllability of the cubic Schroedinger equation via a low-dimensional source term

DOI10.3934/mcrf.2012.2.247zbMath1251.93037OpenAlexW2964016602MaRDI QIDQ1760183

Xianqiang Yang

Publication date: 13 November 2012

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2012.2.247

zbMATH Keywords

approximate controllabilitycubic Schrödinger equationgeometric control theoryLie extensions

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Geometric methods (93B27) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

On the bilinear control of the Gross-Pitaevskii equation ⋮ Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force ⋮ Approximate controllability for Navier-Stokes equations in 3D rectangles under Lions boundary conditions ⋮ Errata: ``Controllability of the cubic Schroedinger equation via a low-dimensional source term ⋮ Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension ⋮ Approximate controllability for Navier-Stokes equations in \(\mathrm{3D}\) cylinders under Lions boundary conditions by an explicit saturating set ⋮ A Proof of Approximate Controllability of the 3D Navier--Stokes System via a Linear Test ⋮ Global approximate controllability of the Korteweg-de Vries equation by a finite-dimensional force ⋮ On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities

This page was built for publication: Controllability of the cubic Schroedinger equation via a low-dimensional source term