Inverse Problems for Stationary Transport Equations

Alemdar Hasanov Hasanoğlu and Vladimir G. Romanov
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Alemdar Hasanov Hasanoğlu: University of Kocaeli, Department of Mathematics
Vladimir G. Romanov: Sobolev Institute of Mathematics

Chapter Chapter 8 in Introduction to Inverse Problems for Differential Equations, 2021, pp 227-233 from Springer

Abstract: Abstract Inverse problems related to the transport equations arise in many areas of applied sciences and have various applications in medical imaging and tomography. At least the three techniques—X ray tomography, single particle emission tomography and positron emission tomography—are based on the transport equations. On the other hand, mathematical models governed by the transport equations have some advantages over the traditional integral geometric approach, at least by accurate modeling and inversion formulae, which we derive in this chapter.

Date: 2021
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DOI: 10.1007/978-3-030-79427-9_8

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