Work

Stability Estimate for the Heat Equation Backward in Time With Neumann and Integral Boundary Conditions

Year: 2024

Type: article

Abstract: 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 this ill-posed problem. Keywords: Heat equation backward; ill-posed problem; stability estimate.

Source: Vinh University Journal of Science

DOI: 10.56824/vujs.2024a055a

Author: NGUYEN Van Duc

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403482202

FWCI: 0.674

Cites: 4

Cited by: 1

Related to: 10