On the stability of the solution in an optimal control problem for a Schrödinger equation

This research paper deals with the Frechet differentiability and necessary condition for optimality in a problem governed by the coefficient of a Schrödinger equation. In order to obtain a stabile solution by means of strong convergence of any minimizer, we have used a more regular space and conside...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2014-12, Vol.249, p.521-526
Main Authors: Subaşı, Murat, Durur, Hülya
Format: Article
Language:English
Subjects:
Continuity
Convergence
Cost engineering
Frechet differentiability
Mathematical analysis
Mathematical models
Optimal control
Optimization
Schroedinger equation
Scientific papers
Time dependent Schrödinger equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This research paper deals with the Frechet differentiability and necessary condition for optimality in a problem governed by the coefficient of a Schrödinger equation. In order to obtain a stabile solution by means of strong convergence of any minimizer, we have used a more regular space and considered second adjoint problem for obtaining the gradient of the cost functional. Proving the Lipschitz continuity, we have stated the necessary condition for optimal solution.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.10.069