Reconstruction of a heat equation from one point observations

DOI10.1007/s42967-021-00174-xOpenAlexW4206329948MaRDI QIDQ2084911

H. Al Attas, Amin Boumenir

Publication date: 13 October 2022

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-021-00174-x

zbMATH Keywords

heat equationinverse problemparameter identification

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Cites Work

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• Recovery of the heat coefficient by two measurements
• The recovery of a parabolic equation from measurements at a single point
• Reconstruction of time-dependent coefficients from heat moments
• On a method for solving the inverse Sturm-Liouville problem
• Recovery of the heat equation from a single boundary measurement
• Inverse Problems for Multidimensional Heat Equations by Measurements at a Single Point on the Boundary
• Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method
• A uniqueness result for the recovery of a coefficient of the heat conduction equation
• An introduction to the mathematical theory of inverse problems

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