caa a22 4500 378921401 CHVBK 20180305123606.0 cr unu---uuuuu 161128e20041201xx s 000 0 eng 10.1515/1569394042545139 doi (NATIONALLICENCE)gruyter-10.1515/1569394042545139 Bugueva T. V. Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: bugueva@math.nsc.ru Some inverse problems for acoustic equation in cylindrical domain [Elektronische Daten] [T. V. Bugueva] We consider one- and multi-dimensional inverse problems for acoustic equation utt = c 2 (Δu - ∇ ln ρ· ∇u) in a medium filling interior of a cylinder infinite with respect to the variable z. For the one-dimensional problem of reconstruction of acoustic medium parameters (the velocity c(r) and the density ρ(r)) we present necessary and sufficient conditions of unique solvability. In multi-dimensional case we investigate the inverse problem of reconstruction of the velocity c(r, φ, z) assuming the density ρ(r) is known. Estimates of conditional stability are obtained in the both cases. Copyright 2004, Walter de Gruyter Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/6(2004-12-01), 581-596 0928-0219 12:6<581 2004 12 jiip https://doi.org/10.1515/1569394042545139 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042545139 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bugueva T. V. Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: bugueva@math.nsc.ru NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/6(2004-12-01), 581-596 0928-0219 12:6<581 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter