An optimal control problem for two-dimensional Schrodinger equation


Yagubov G. , Toyoglu F., SUBAŞI M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, ss.6177-6187, 2012 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 218 Konu: 11
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2011.12.028
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayısı: ss.6177-6187

Özet

In this paper we consider an optimal control problem controlled by three functions which are in the coefficients of a two-dimensional Schrodinger equation. After proving the existence and uniqueness of the optimal solution, we get the Frechet differentiability of the cost functional using Hamilton-Pontryagin function. Then we state a necessary condition to an optimal solution in the variational inequality form using the gradient. (C) 2011 Elsevier Inc. All rights reserved.