|
|
|
Литература
|
|
|
1. |
V. Isakov, Inverse Problems for Partial Differential Equations, Applied Mathematical Sciences, 127, 2nd Ed., Springer, 2006 |
2. |
М. М. Лаврентьев, В. Г. Романов, С. П. Шишатский, Некорректные задачи математической физики и анализа, Наука, Москва, 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. |
М. Н. Демченко, “Динамическая трехмерная обратная задача для системы Максвелла”, Алгебра и анализ, 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. |
Р. Курант, Д. Гильберт, Методы математической физики., т. 2, Уравнения с частными производными, Мир, Москва, 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. |
Л. Хермандер, Анализ линейных дифференциальных операторов с частными производными, т. 1, Теория распределений и анализ Фурье, Мир, Москва, 1986 |