Some inverse problems for acoustic equation in cylindrical domain
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| 024 | 7 | 0 | |a 10.1515/1569394042545139 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569394042545139 | ||
| 100 | 1 | |a Bugueva |D T. V. |u Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: bugueva@math.nsc.ru | |
| 245 | 1 | 0 | |a Some inverse problems for acoustic equation in cylindrical domain |h [Elektronische Daten] |c [T. V. Bugueva] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 773 | 0 | |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 12/6(2004-12-01), 581-596 |x 0928-0219 |q 12:6<581 |1 2004 |2 12 |o jiip | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569394042545139 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569394042545139 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Bugueva |D T. V. |u Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: bugueva@math.nsc.ru | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 12/6(2004-12-01), 581-596 |x 0928-0219 |q 12:6<581 |1 2004 |2 12 |o jiip | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||