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STABILITY ESTIMATE FOR THE HEAT EQUATION BACKWARD IN TIME WITH NEUMANN AND INTEGRAL BOUNDARY CONDITIONS
Authors: Nguyen Van Duc
25    0
Vinh University Journal of Science
: 53 (3A)     : 102-110
: https://vujs.vn/vi/all-issues/copy/A.0055-2024
: NCKH_1534_20241127091116.pdf
Publishing year: 11/2024
In this paper, we first prove that the heat equation backward in time with Neumann and integral boundary conditions is an illposed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem.
Heat equation backward; ill-posed problem; stability estimate.
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