Controllability of NLS in the vicinity of solitary wave solutions

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dc.creatorLange, Horst
dc.creatorTeismann, Holger
dc.date2006-08-05
dc.date.accessioned2026-07-07T07:21:26Z
dc.date.available2026-07-07T07:21:26Z
dc.descriptionLocal exact controllability of the 1D NLS (subject to zero boundary conditions) with distributed control is shown to hold in a $H^1$--neighbourhood of the nonlinear ground state. The Hilbert Uniqueness Method (HUM), due to J.-L. Lions, is applied to the linear control problem that arises by linearization around the ground state. The application of HUM crucially depends on the spectral properties of the linearized NLS operator which are given in detail.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0608135
dc.identifierhttp://arxiv.org/abs/math/0608135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115298
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject93B05; 35Q55
dc.titleControllability of NLS in the vicinity of solitary wave solutions
dc.typetext

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