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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Trường Đại học Vinh
2024-12-01
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| Series: | Tạp chí Khoa học |
| Subjects: | |
| Online Access: | https://vujs.vn//api/view.aspx?cid=0f8ac6a3-6adc-4aa4-8a96-375354133650 |
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