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Stability estimate for the heat equation backward in time with Neumann and integral boundary conditions

In this paper, we first prove that the heat equation backward in time with Neumann and integral boundary conditions is an ill-posed problem. Then, we establish a stability estimate of Hölder type for...

Author: Duc Duc Van

Keyword: The heat equation backward in time stability estimate ill-posed problem.
2

Ill-posedness and stability es-timate for the heat equation backward in time with Dirichlet and integral boundary condi-tions

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...

Author: Duc Duc Van, Linh Phan Hoai

Keyword: Heat equation backward stability estimate ill-posed problem.

Vinh University journal of science

Tạp chí khoa học Trường Đại học Vinh

ISSN: 1859 - 2228

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License: 163/GP-BTTTT issued by the Minister of Information and Communications on May 10, 2023

Open Access License: Creative Commons CC BY NC 4.0

 

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