On the dynamic inverse problem for the first-order transport system
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 153-169

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A dynamic inverse problem for a first-order dissipative transport system is considered for reconstructing the complex potential matrix from the dynamic response (the Dirichlet-Neumann operator) of the system for positive and negative times. In addition, a special physically motivated case of the system is considered when the potential matrix can be reconstructed only from the positive time response.
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     author = {A. S. Mikhailov and V. S. Mikhailov},
     title = {On the dynamic inverse problem for the first-order transport system},
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A. S. Mikhailov; V. S. Mikhailov. On the dynamic inverse problem for the first-order transport system. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 153-169. http://geodesic.mathdoc.fr/item/ZNSL_2024_533_a9/