عنوان المقالة: Identification of diffusion coefficient in a semi-linear parabolic equation with incomplete initial condition: a no-regret control method
عبدالحق حفظ الله | Abdelhak Hafdallah | 5851
نوع النشر
مقال علمي
المؤلفون بالعربي
المؤلفون بالإنجليزي
Abdelhak Hafdallah
الملخص الانجليزي
This paper addresses the problem of identifying the unknown diffusion coefficient in a semi-linear parabolic equation with incomplete initial condition. We propose an optimal control approach using the no-regret control method and the adapted low-regret control. Our approach provides a full characterisation of the unknown diffusion coefficient independent of the missing initial condition. We also present an optimality system that describes the adapted low-regret control and use it to find a full description of the no-regret control by taking the limit of the sequence of adapted low-regret controls.
تاريخ النشر
13/12/2023
الناشر
Journal of Control and Decision
رقم المجلد
رقم العدد
رابط DOI
https://doi.org/10.1080/23307706.2023.2284142
رابط خارجي
https://www.tandfonline.com/doi/full/10.1080/23307706.2023.2284142?scroll=top&needAccess=true
الكلمات المفتاحية
inverse problems
رجوع