Speciality:
05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Birth date:
20.01.1966
E-mail: Keywords: radiation transfer equation,
inverse problems,
tomography.
Subject:
Radiation transport theory, tomography.
Main publications:
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, Transport Equation and Tomography, Inverse and Ill-Posed Problems Series, 30, VSP, Boston-Utrecht, 2002 , viii+208 pp.
I. V. Prokhorov, “On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces”, Izv. Math., 67:6 (2003), 1243–1266
I. V. Prokhorov, I. P. Yarovenko, V. G. Nazarov, “Optical tomography problems at layered media”, Inverse Problems, 24:2 (2008), 025019 , 13 pp.
I. V. Prokhorov, “On the Structure of the Continuity Set of the Solution to a Boundary-Value Problem for the Radiation Transfer Equation”, Math. Notes, 86:2 (2009), 234–248
I. V. Prokhorov, I. P. Yarovenko, “Analysis of the tomographic contrast during the immersion bleaching of layered biological tissues”, Quantum Electronics, 40:1 (2010), 77–82
I. V. Prokhorov, “Solvability of the initial-boundary value problem for an integrodifferential equation”, Siberian Math. J., 53:2 (2012), 301–309
I.V. Prokhorov, “The cauchy problem for the radiative transfer equation with generalized conjugation conditions”, Computational Mathematics and Mathematical Physics, 53:5 (2013), 588–600
I. V. Prokhorov, A. A. Sushchenko, “Studying the problem of acoustic sounding of the seabed using methods of radiative transfer theory”, Acoustical Physics, 61:3 (2015), 368–375
I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90
I. V. Prokhorov, I. P. Yarovenko, “Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration”, Doklady Mathematics, 106:1 (2022), 272–278
