Uniqueness in an integral geometry problem and an inverse problem for the kinetic equation |
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Authors: | Arif Amirov Fikret Gölgeleyen |
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Affiliation: | Department of Mathematics, Bülent Ecevit University, Zonguldak, Turkey. |
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Abstract: | In this paper, we discuss the uniqueness in an integral geometry problem along the straight lines in a strongly convex domain. Our problem is related with the problem of finding a Riemannian metric by the distances between all pairs of the boundary points. For the proof, the problem is reduced to an inverse source problem for a kinetic equation and then the uniqueness theorem is proved using the tools of Fourier analysis. |
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Keywords: | Integral geometry problem inverse problem kinetic equation uniqueness |
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