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• W2157145609 abstract "We prove a Carleman estimate and a logarithmic stability estimate for an inverse problem in three-dimensional viscoelasticity. More precisely, we obtain logarithmic stability for the inverse problem of recovering the spatial part of a viscoelastic coefficient of the form p(x)h(t) from a unique measurement on an arbitrary part of the boundary. The main assumptions are h'(0) = 0, , p is known in a neighborhood of the boundary and regularity and sensitivity of the reference trajectory. We propose a method to solve the problem numerically and illustrate the theoretical result by a numerical example." @default.
• W2157145609 created "2016-06-24" @default.
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• W2157145609 date "2010-07-09" @default.
• W2157145609 modified "2023-10-15" @default.
• W2157145609 title "Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example" @default.
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• W2157145609 doi "https://doi.org/10.1088/0266-5611/26/9/095006" @default.
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