ILL-POSEDNESS AND STABILITY ESTIMATE FOR THE HEAT EQUATION BACKWARD IN TIME WITH DIRICHLET AND INTEGRAL BOUNDARY CONDITIONS
In this paper, we first prove that the heat equation backward in time with Dirichlet and integral boundary conditions is an ill- posed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem. Keywords: Heat equation backward; ill-posed problem; stability estimate
Authors
- Nguyen Van Duc (ORCID: https://orcid.org/0000-0001-6613-2792)
- PHAN Hoai Linh
Publication Details
- Journal
- Vinh University Journal of Science
- Published
- 2024-12-20
- DOI
- https://doi.org/10.56824/vujs.2024a079a
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00