Approximation of the conductivity coefficient in the heat equation

DOI10.1080/00036811.2014.912752zbMath1333.35340OpenAlexW2033909301MaRDI QIDQ5249956

Huan Liu, Fang-Fang Dou

Publication date: 13 May 2015

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

Full work available at URL: https://doi.org/10.1080/00036811.2014.912752

zbMATH Keywords

heat equationDirichlet-to-Neumann mapcoefficient identificationmollification methodFourier truncation method

Mathematics Subject Classification ID

Heat equation (35K05) Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30)

Cites Work

• A global uniqueness theorem for an inverse boundary value problem
• The uniqueness of a solution to an inverse scattering problem for electromagnetic waves
• On an inverse boundary value problem
• Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
• Inverse Problems for Time-Dependent Singular Heat Conductivities---One-Dimensional Case
• Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation
• Optimal filter and mollifier for piecewise smooth spectral data
• A simple regularization method for stable analytic continuation
• Electrical impedance tomography and Calderón's problem
• On an Inverse Diffusion Problem
• Inverse problem of electro-seismic conversion

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