Recovery of the heat equation from a single boundary measurement |
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| Authors: | Amin Boumenir Vu Kim Tuan |
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| Affiliation: | Department of Mathematics, University of West Georgia , Carrollton, GA, USA. |
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| Abstract: | We prove that we can uniquely recover the coefficient of a one-dimensional heat equation from a single boundary measurement and provide a constructive procedure for its recovery. The algorithm is based on the well-known Gelfand–Levitan–Gasymov inverse spectral theory of Sturm–Liouville operators. |
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| Keywords: | Heat equation inverse spectral problem boundary measurement |
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