Global controllability of 1D Schroedinger-Poisson equation

dc.creatorde Leo, Mariano Fernando
dc.creatorSanchez Fernandez de la Vega, Constanza Mariel
dc.creatorRial, Diego Fernando
dc.date.accessioned2017-01-02T19:26:00Z
dc.date.accessioned2018-11-06T15:59:18Z
dc.date.available2017-01-02T19:26:00Z
dc.date.available2018-11-06T15:59:18Z
dc.date.created2017-01-02T19:26:00Z
dc.date.issued2013-06
dc.identifierde Leo, Mariano Fernando; Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Global controllability of 1D Schroedinger-Poisson equation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 54; 6-2013; 43-54
dc.identifier0041-6932
dc.identifierhttp://hdl.handle.net/11336/10689
dc.identifier1669-9637
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1903234
dc.description.abstractThis paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t =  -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space.
dc.languageeng
dc.publisherUnión Matemática Argentina
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v54n1/v54n1a05.pdf
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectNonlinear Schroedinger-Poisson
dc.subjectHartree potential
dc.subjectdoping profile
dc.subjectinternal controllability
dc.titleGlobal controllability of 1D Schroedinger-Poisson equation
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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