|
|
|
|
References
|
|
| |
| 1. |
V. Isakov, Inverse Problems for Partial Differential Equations, Applied Mathematical Sciences, 127, 2nd Ed., Springer, 2006   |
| 2. |
M. M. Lavrentev, V. G. Romanov, S. P. Shishatskii, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Nauka, Moskva, 1980 |
| 3. |
D. Tataru, “Unique Continuation for Solutions to PDE's; Between Hörmander's Theorem and Holmgren's Theorem”, Commun. Partial Diff. Equations, 20:5–6 (1995), 855–884 |
| 4. |
S. I. Kabanikhin, D. B. Nurseitov, M. A. Shishlenin, B. B. Sholpanbaev, “Inverse problems for the ground penetrating radar”, J. Inverse Ill-Posed Probl., 21 (2013), 885–892 |
| 5. |
F. Natterer, “Photo-acoustic inversion in convex domains”, Inverse Probl. Imaging, 6:2 (2012), 315–320  |
| 6. |
R. A. Kruger, P. Liu, Y. Fang, C. R. Appledorn, “Photoacoustic ultrasound (PAUS) – Reconstruction tomography”, Medical Physics, 22 (1995), 1605–1609  |
| 7. |
T. A. Voronina, V. A. Tcheverda, V. V. Voronin, “Some properties of the inverse operator for a tsunami source recovery”, Siberian Electronic Mathematical Reports, 11 (2014), 532–547  |
| 8. |
M. I. Belishev, “Recent progress in the boundary control method”, Inverse problems, 23:5 (2007), 1–67 |
| 9. |
M. N. Demchenko, “Dinamicheskaya trekhmernaya obratnaya zadacha dlya sistemy Maksvella”, Algebra i analiz, 23:6 (2011), 32–79  |
| 10. |
M. I. Belishev, M. N. Demchenko, “Elements of noncommutative geometry in inverse problems on manifolds”, J. Geometry and Physics, 78 (2014), 29–47 |
| 11. |
A. S. Blagoveshchensky, F. N. Podymaka, “On a Cauchy problem for the wave equation with data on a time-like hyperplane”, Proceedings of the International Conference Days on Diffraction, 2016, 31–34 |
| 12. |
E. T. Quinto, A. Rieder, T. Schuster, “Local inversion of the sonar transform regularized by the approximate inverse”, Inverse Problems, 27:3 (2011), 035006 |
| 13. |
D. Finch, S. K. Patch, Rakesh, “Determining a Function from Its Mean Values Over a Family of Spheres”, SIAM J. Math. Anal., 35:5 (2004), 1213–1240 |
| 14. |
D. Finch, M. Haltmeier, Rakesh, “Inversion of spherical means and the wave equation in even dimensions”, SIAM J. Appl. Math., 68 (2007), 392–412 |
| 15. |
R. Kurant, D. Gilbert, Metody matematicheskoi fiziki., v. 2, Uravneniya s chastnymi proizvodnymi, Mir, Moskva, 1964 |
| 16. |
V. P. Palamodov, “Reconstruction from Limited Data of Arc Means”, J. Fourier Anal. Appl., 6:1 (2000), 25–42 |
| 17. |
M. N. Demchenko, “Reconstruction of solution to the wave equation from Cauchy data on the boundary”, Proceedings of the International Conference Days on Diffraction, 2018, 66–70 |
| 18. |
L. Khermander, Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, v. 1, Teoriya raspredelenii i analiz Fure, Mir, Moskva, 1986 |
