Reconstruction of the discontinuity line of a piecewise-constant coefficient in the two-dimensional internal initial-boundary value problem for the homogeneous heat equation

DOI10.1007/S10598-013-9206-XzbMath1327.80011OpenAlexW2012194885MaRDI QIDQ895149

A. G. Razborov, S. G. Golovina

Publication date: 26 November 2015

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-013-9206-x

zbMATH Keywords

heat equationinverse problemsreconstruction of piecewise-constant coefficients

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23)

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Cites Work

• Determining the boundary of a two-dimensional region from the solution of the external initial boundary-value problem for the heat equation
• Determining the internal boundary of a region in the two-dimensional initial--boundary-value problem for the heat equation
• The linearization method in the inverse problem of determination of low-permeability zones in an oil-bearing layer
• The inverse problem of determining low-permeability zones in an oil-bearing layer
• Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
• An inverse boundary value problem for the heat equation: the Neumann condition
• The enclosure method for the heat equation

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