Spectral controllability for 2D and 3D linear Schrödinger equations

DOI10.1016/j.jfa.2009.02.009zbMath1191.35222OpenAlexW1977560080MaRDI QIDQ1028316

J. Blot

Publication date: 30 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.02.009

zbMATH Keywords

Schrödinger equationshape differentiationHelmholtz equationDirichlet-to-Neumannlayer potentialsKalman conditionspectral controllabilitygeneric controllabilityminimality of trigonometric families

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for eigenvalues of operators (49R05) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs in connection with control and optimization (35Q93)

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