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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 1094–1105
(Mi smj1407)
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This article is cited in 8 scientific papers (total in 8 papers)
Mathematical problems of tomography and hyperbolic mappings
M. M. Lavrent'ev Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We consider a new class of mathematical problems related to interpretation of tomography data. The main assumption is that the sought distribution of absorption is an identically one function in the domain to be determined. These problems are connected with three known directions of mathematical physics: the Dirichlet problems for hyperbolic equations, the problems of small oscillations of a rotating fluid, and the problems of supersonic flows of an ideal gas.
Received: 18.04.2001
Citation:
M. M. Lavrent'ev, “Mathematical problems of tomography and hyperbolic mappings”, Sibirsk. Mat. Zh., 42:5 (2001), 1094–1105; Siberian Math. J., 42:5 (2001), 916–925
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https://www.mathnet.ru/eng/smj1407 https://www.mathnet.ru/eng/smj/v42/i5/p1094
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Abstract page: | 408 | Full-text PDF : | 212 |
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