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On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-23
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper presents theoretical results about control of the coefficient function in a hyperbolic problem with Dirichlet conditions.
The existence and uniqueness of the optimal solution for optimal control problem are proved and adjoint problem is used to obtain gradient of the functional.
However, a second adjoint problem is given to calculate the gradient on the space W210,l.
After calculating gradient of the cost functional and proving the Lipschitz continuity of the gradient, necessary condition for optimal solution is constructed.
American Psychological Association (APA)
İğret Araz, Seda& Subaşı, Murat. 2018. On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1170803
Modern Language Association (MLA)
İğret Araz, Seda& Subaşı, Murat. On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions. International Journal of Differential Equations No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1170803
American Medical Association (AMA)
İğret Araz, Seda& Subaşı, Murat. On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1170803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170803