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A variational method of optimal control problems for nonlinear Schrödinger equations
Authors:Murat Subai
Institution:Murat Subaşi
Abstract:Calculating the control function that is in the coefficients of the nonlinear Schrodinger equation and minimizes the objective functional consisting of two integrals is main aim of this article. After proving the existence and uniqueness of the solution, we have constituted an algorithm using the method of gradient of projection. Results are tested on a quantum‐mechanical problem. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 82–89, 2004.
Keywords:optimal control problem  parabolic equation  inverse problem
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