On the identification of the heat conductivity distribution from partial dynamic boundary measurements

DOI10.1080/00036811.2019.1698723zbMath1475.35414arXiv1602.03059OpenAlexW2993072749WikidataQ126622728 ScholiaQ126622728MaRDI QIDQ5158603

Abdessatar Khelifi, Aymen Jbalia

Publication date: 25 October 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03059

zbMATH Keywords

identificationheat equationheat conductivityexact boundary controllability

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical and statistical methods for multistatic imaging
• A global uniqueness theorem for an inverse boundary value problem
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• A linearized inverse boundary value problem for Maxwell's equations
• On exact and approximate boundary controllabilities for the heat equation: A numerical approach
• Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements.
• Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
• Reconstruction of small inhomogeneities from boundary measurements
• Global uniqueness for a two-dimensional inverse boundary value problem
• On a logarithmic stability estimate for an inverse heat conduction problem
• Calderón's inverse conductivity problem in the plane
• Stability of the determination of the surface impedance of an obstacle from the scattering amplitude
• Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material
• A boundary integral method for solving inverse heat conduction problem
• Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation
• Numerical estimation of the Robin coefficient in a stationary diffusion equation
• Boundary integral solution of the two-dimensional heat equation
• Stability and reconstruction for an inverse problem for the heat equation
• Determination of point wave sources by pointwise observations: stability and reconstruction
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
• A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
• An Inverse Initial Boundary Value Problem for the Wave Equation in the Presence of Imperfections of Small Volume
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
• An Inverse Problem in Thermal Imaging
• On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
• Inverse Problems for Time-Dependent Singular Heat Conductivities: Multi-Dimensional Case
• Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data
• Exact and Approximate Controllability for Distributed Parameter Systems
• Extracting discontinuity in a heat conductive body. One-space dimensional case
• Direct Algorithms for Thermal Imaging of Small Inclusions

This page was built for publication: On the identification of the heat conductivity distribution from partial dynamic boundary measurements