Work

Ill-posedness and Stability Estimate for the Heat Equation Backward in Time With Dirichlet and Integral Boundary Conditions

Year: 2024

Type: article

Abstract: 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

Source: Vinh University Journal of Science

DOI: 10.56824/vujs.2024a079a

Authors: NGUYEN Van Duc, PHAN Hoai Linh

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4406211015

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Cites: 5

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Related to: 10