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