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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2010 Volume 7, Pages C.73–C.80 (Mi semr272)

Proceedings of conferences

Ill-posed problems of radiation tomography

D. S. Anikonov, M. M. Lavrent'ev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: We discuss general conception for investigation of ill-posed problems and illustrate it by research some problems of radiation tomography which can be reduced to certain problems of integral geometry and singular integral equations.

Keywords: inverse problems, tomography, integral geometry, singular integral, unknown boundary.

UDC: 517.958

MSC: 13A99

Received February 12, 2010



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