Yazar "Yetiskin, Hakan" seçeneğine göre listele

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  • Küçük Resim
    Öğe
    On the optimal control problem for Schrodinger equation with complex potential
    (Elsevier Science Inc, 2010) Yetiskin, Hakan; Subasi, Murat
    The 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.
  • Küçük Resim
    Öğe
    Variational problem with complex coefficient of a nonlinear Schrodinger equation
    (Springer India, 2012) Aksoy, Nigar Yildirim; Yildiz, Bunyamin; Yetiskin, Hakan
    An optimal control problem governed by a nonlinear Schrodinger equation with complex coefficient is investigated. The paper studies existence, uniqueness and optimality conditions for the control problem.