On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System
Yıl: 2024 Cilt: 5 Sayı: 1 Sayfa Aralığı: 15 - 24 Metin Dili: İngilizce DOI: 10.54974/fcmathsci.1243111 İndeks Tarihi: 26-02-2024
On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System
Öz: We deal with an optimal boundary control problem in a 1-d heat equation with Neumann boundary conditions. We search for a Neumann boundary function which is the minimum element of a quadratic cost functional involving the $H^1$-norm of boundary controls. We prove that the cost functional has a unique minimum element and is Frechet differentiable. We give a necessary condition for the optimal solution and construct a minimizing sequence using the gradient of the cost functional.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Koç T, SARAÇ Y, ASLANCI S (2024). On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. , 15 - 24. 10.54974/fcmathsci.1243111 |
| Chicago | Koç Taha,SARAÇ YEŞİM,ASLANCI Seher On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. (2024): 15 - 24. 10.54974/fcmathsci.1243111 |
| MLA | Koç Taha,SARAÇ YEŞİM,ASLANCI Seher On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. , 2024, ss.15 - 24. 10.54974/fcmathsci.1243111 |
| AMA | Koç T,SARAÇ Y,ASLANCI S On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. . 2024; 15 - 24. 10.54974/fcmathsci.1243111 |
| Vancouver | Koç T,SARAÇ Y,ASLANCI S On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. . 2024; 15 - 24. 10.54974/fcmathsci.1243111 |
| IEEE | Koç T,SARAÇ Y,ASLANCI S "On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System." , ss.15 - 24, 2024. 10.54974/fcmathsci.1243111 |
| ISNAD | Koç, Taha vd. "On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System". (2024), 15-24. https://doi.org/10.54974/fcmathsci.1243111 |
| APA | Koç T, SARAÇ Y, ASLANCI S (2024). On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. Fundamentals of contemporary mathematical sciences (Online), 5(1), 15 - 24. 10.54974/fcmathsci.1243111 |
| Chicago | Koç Taha,SARAÇ YEŞİM,ASLANCI Seher On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. Fundamentals of contemporary mathematical sciences (Online) 5, no.1 (2024): 15 - 24. 10.54974/fcmathsci.1243111 |
| MLA | Koç Taha,SARAÇ YEŞİM,ASLANCI Seher On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. Fundamentals of contemporary mathematical sciences (Online), vol.5, no.1, 2024, ss.15 - 24. 10.54974/fcmathsci.1243111 |
| AMA | Koç T,SARAÇ Y,ASLANCI S On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. Fundamentals of contemporary mathematical sciences (Online). 2024; 5(1): 15 - 24. 10.54974/fcmathsci.1243111 |
| Vancouver | Koç T,SARAÇ Y,ASLANCI S On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System. Fundamentals of contemporary mathematical sciences (Online). 2024; 5(1): 15 - 24. 10.54974/fcmathsci.1243111 |
| IEEE | Koç T,SARAÇ Y,ASLANCI S "On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System." Fundamentals of contemporary mathematical sciences (Online), 5, ss.15 - 24, 2024. 10.54974/fcmathsci.1243111 |
| ISNAD | Koç, Taha vd. "On Optimal Control of the Heat Flux at the Left-Hand Side in a Heat Conductivity System". Fundamentals of contemporary mathematical sciences (Online) 5/1 (2024), 15-24. https://doi.org/10.54974/fcmathsci.1243111 |
