On the optimal control problem for Schrodinger equation with complex potential

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dc.contributor.authorYetiskin, Hakan
dc.contributor.authorSubasi, Murat
dc.date.accessioned2024-09-18T20:52:54Z
dc.date.available2024-09-18T20:52:54Z
dc.date.issued2010
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe existence and uniqueness for the solution of the problem of determining the v(x, t) potential in the Schrodinger equation i partial derivative psi/partial derivative t + partial derivative/partial derivative x (a(0)(x)partial derivative psi/partial derivative x) - a(x)psi + iv(x, t)psi = f(x, t) from the measured final data psi(x,T) = y(x) is investigated. For the objective functional J(alpha)(nu) = parallel to psi(x, T; v) - y(x)parallel to(2)(L2)(0,l) + alpha parallel to nu - w parallel to(2)(W2)0,1 (Omega), it is proven that the problem has at least one solution for a alpha >= 0, and has a unique solution for alpha > 0. The necessary condition for solvability the problem is stated as the variational principle. (C) 2010 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipTUBITAK (Turkish Scientific and Technical Research Council) [107T925]en_US
dc.description.sponsorshipThis study was supported by TUBITAK (Turkish Scientific and Technical Research Council), Project Number: 107T925.en_US
dc.identifier.doi10.1016/j.amc.2010.03.039
dc.identifier.endpage1902en_US
dc.identifier.issn0096-3003
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-77953230857en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1896en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2010.03.039
dc.identifier.urihttps://hdl.handle.net/20.500.12483/11480
dc.identifier.volume216en_US
dc.identifier.wosWOS:000277703300002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectOptimal control problemen_US
dc.subjectSchrodinger equationen_US
dc.subjectFrechet differentialen_US
dc.titleOn the optimal control problem for Schrodinger equation with complex potentialen_US
dc.typeArticleen_US

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