On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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 W-2(1) (0, 1). After calculating gradient of the cost functional and proving the Lipschitz continuity of the gradient, necessary condition for optimal solution is constructed.
Açıklama
Anahtar Kelimeler
Kaynak
International Journal of Differential Equations
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
2018
