Inverse scattering problems for an equation of Lippman--Schwinger type
Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 3, pp. 18-33.

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A. N. Bondarenko. Inverse scattering problems for an equation of Lippman--Schwinger type. Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 3, pp. 18-33. http://geodesic.mathdoc.fr/item/SJIM_2003_6_3_a2/

[1] Arridge S. R., “Optical tomography in medical imaging”, Inverse Problems, 15 (1999), 41–63 | DOI | MR

[2] Bondarenko A. N., “Struktura singulyarnostei fundamentalnogo resheniya uravneniya perenosa i obratnye zadachi teorii rasseyaniya chastits”, Dokl. AN SSSR, 322 (1992), 274–276 | MR | Zbl

[3] Bondarenko A. N., On the structure of the fundamental solution of the time-independent transport equation, Preprint Institut matematiki SO RAN No 31, Novosibirsk, 1996, 20 pp. | MR

[4] Bondarenko A. N., Singular structure of the fundamental solution of the transport equation, Preprint Institute of Mathematics and its Applications; No 1474, Minnesota, 1997, 20 pp.

[5] Bondarenko A. N., Antyufeev V. S., “$X$-ray tomography in scattering media”, SIAM J. Appl. Math., 56 (1996), 573–587 | DOI | MR | Zbl

[6] Bondarenko A. N., “The structure of the fundamental solution of the time-independent transport equation”, J. Math. Anal. Appl., 221 (1998), 430–451 | DOI | MR | Zbl

[7] Bondarenko A. N., “Feynman diagrams for Lippman-Schwinger equation with singular potential”, Proc. 6th Internat. symp. science and technology, NSTU, Novosibirsk, 2002, 240–245

[8] Bondarenko A. N., “Struktura volnovykh frontov v mezoskopicheskoi teorii perenosa izlucheniya”, Nauch. vestnik NGTU, 2002, no. 1(12), 29–44

[9] Dorn O., Das Inverse Transportproblem in der Lasertomographie, PhD thesis, Univ. Münster, 1997, 210 pp. | Zbl

[10] Haller E. B. de., “Time-resolved transillumination and optical tomography”, J. Biomed. Optimisation, 1 (1996), 7–17 | DOI

[11] Outer P. N. den, Niewenhuizen T. M., Ladendijk A., “Location of objects in multiplescattering media”, Optic. Soc. Amer. Ser. A, 10 (1993), 1209–1218 | DOI

[12] Frishkin J. B., Coquoz O., Andersen E. R., Brenner M., Tromberg B. J., “Frequency-domain photon migration measurements of normal and malignant tissue optical properties in a human subject”, Appl. Optics, 36 (1997), 11–20

[13] Romanov V. G., Inverse Problems of Mathematical Physics, VNU, Utrecht, 1987