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ArticleOriginal scientific text

Title

On an optimal control problem for a quasilinear parabolic equation

Authors 1, 2

Affiliations

  1. Mathematics Department, Faculty of Science,Minia University, Minia, Egypt
  2. Mathematics Department, Faculty of EducationP.O. Box 14, Ibri 516, Sultanate of Oman

Abstract

An optimal control problem governed by a quasilinear parabolic equation with additional constraints is investigated. The optimal control problem is converted to an optimization problem which is solved using a penalty function technique. The existence and uniqueness theorems are investigated. The derivation of formulae for the gradient of the modified function is explainedby solving the adjoint problem.

Keywords

ENG
existence theory, parabolic equations, penalty function methods, optimal control

Bibliography

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Applicationes Mathematicae
2000/27/2
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Pages:
239-250
Main language of publication
English
Received
1999-04-29
Accepted
1999-10-11
Published
2000
Exact and natural sciences