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Recovering the surface temperature history of a two-layer composite body

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We consider the problem of recovering the surface temperature history of a two-layer composite body from interior measurements. The problem is ill-posed. We shall use the Fourier transform and the method of truncated integration to regularize the problem. Error estimate is given.
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Keywords: 35C15; 35R25; 44A35; Fourier transform; Heat equations; Ill-posed problems; Mathematics Subject Classifications 2000: 35K05; Truncated integration

Document Type: Research Article

Affiliations: Communicated by R.P. Gilbert

Publication date: 2005-08-01

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