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• W2052807850 abstract "This paper is concerned with a new method to solve a linearized inverse problem for one-dimensional parabolic equations. The inverse problem seeks to recover the subsurface absorption coefficient function based on the measurements obtained at the boundary. The method considers a temporal interval during which time dependent measurements are provided. It linearizes the working equation around the system response for a background medium. It is then possible to relate the inverse problem of interest to an ill-posed boundary value problem for a differential-integral equation, whose solution is obtained by the method of quasireversibility. This approach leads to an iterative method. A number of numerical results are presented which indicate that a close estimate of the unknown function can be obtained based on the boundary measurements only." @default.
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• W2052807850 date "2002-04-01" @default.
• W2052807850 modified "2023-09-23" @default.
• W2052807850 title "An inversion method for parabolic equations based on quasireversibility" @default.
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• W2052807850 doi "https://doi.org/10.1016/s0898-1221(02)80003-7" @default.
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