عنوان المقالة: Identification of the Potential Coefficient in the Wave Equation with Incomplete Data: A Sentinel Method
عبدالحق حفظ الله | Abdelhak Hafdallah | 5858
نوع النشر
مقال علمي
المؤلفون بالعربي
المؤلفون بالإنجليزي
Elhamza Billal, Abdelhak Hafdallah
الملخص الانجليزي
In this paper, we consider a wave equation with incomplete data, where we do not know the potential coefficient and the initial conditions. From observing the system in the boundary, we want to get information on the potential coefficient independently of the initial conditions. This can be obtained using the sentinel method of Lions, which is a functional insensitive to certain parameters. Shows us through the adjoint system that the existence of the sentinel is equivalent to an optimal control problem. We solve this optimal control problem by using the Hilbert uniqueness method (HUM).
تاريخ النشر
17/03/2023
الناشر
Springer Nature
رقم المجلد
66
رقم العدد
ISSN/ISBN
1066-369X
رابط DOI
https://doi.org/10.3103/S1066369X22120027
الصفحات
102–111
رابط خارجي
https://link.springer.com/article/10.3103/S1066369X22120027
الكلمات المفتاحية
potential coefficient identification, incomplete data, sentinel method, optimal control problem, Hilbert uniqueness method
رجوع