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A Lipschitz stability estimate for the inverse source problem and the numerical scheme - MaRDI portal

A Lipschitz stability estimate for the inverse source problem and the numerical scheme (Q310431)

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scientific article; zbMATH DE number 6625321
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A Lipschitz stability estimate for the inverse source problem and the numerical scheme
scientific article; zbMATH DE number 6625321

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    A Lipschitz stability estimate for the inverse source problem and the numerical scheme (English)
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    8 September 2016
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    Summary: We consider the inverse source problem for heat equation, where the source term has the form \(f(t) \phi(x)\). We give a numerical algorithm to compute unknown source term \(f(t)\). Also, we give a stability estimate in the case that \(f(t)\) is a piecewise constant function.
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