Reconstruction of the discontinuity line of a piecewise-constant coefficient in the two-dimensional internal initial-boundary value problem for the homogeneous heat equation
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Publication:895149
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
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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