Research Article
Year 2023,
Volume: 11 Issue: 2, 1014 - 1024, 30.04.2023
Abstract
Bu çalışmada saçılım terimi içeren durağan olmayan bir kinetik denklem için bazı düz ve ters problemler ele alınmıştır. Bu problemlerin aralarındaki ilişki tartışılmış ve çözümlerinin tekliği araştırılmıştır.
References
- Yu. E. Anikonov, “Inverse Problems for Kinetic and other Evolution Equations,” De Gruyter, 2001.
- A. K. Amirov, “Integral Geometry and Inverse Problems for Kinetic Equations,” VSP, Utrecht The Netherlands, 2001.
- A. Kh. Amirov, “Uniqueness of the solution of an inverse problem for kinetic equation,” Sibirsk. Mat. Zh., vol. 28, no. 5, pp. 3-5, 1987.
- F. Gölgeleyen, A. Amirov, “On the approximate solution of a coefficient inverse problem for the kinetic equation,” Mathematical Communications, vol. 16, no. 1, pp. 283-298, 2011.
- M. M Lavrentiev, V.G. Romanov, and S. P. Shishatskii, “Ill-Posed Problems of Mathematical Physics and Analysis,” American Mathematical Society, Providence, 1986. V. G. Romanov, “Integral Geometry and Inverse Problems for Hyperbolic Equations,” Springer-Verlag, 1974.
- J. Radon, “Über die Bestimmung von Funktionen durch ihre Integral-werte längs gewisser Mannigfaltigkeiten,” Berichte Sächsische Akademie der Wissenschaften, Leipzig, Math Nat kl. vol. 69, pp. 262–277, 1917.
- J. F. John, “Bestimmung einer Funktion aus ihren Integralen über gewisse Mannigfaltigkeiten,” Mathematische Annalen, vol. 109, no. 1, pp. 488-520, 1934.
- M. V. Klibanov, and A. A. Timonov, “Carleman Estimates for Coefficient Inverse Problems and Numerical Applications,” De Gruyter, 2012.
- M. Bellassoued, and M. Yamamoto, “Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems,” Tokyo, Springer Japan, 2017.
- V. Isakov, “Inverse Problems for Partial Differential Equations,” New York, Springer, vol. 127, 2016.
Year 2023,
Volume: 11 Issue: 2, 1014 - 1024, 30.04.2023
Abstract
References
- Yu. E. Anikonov, “Inverse Problems for Kinetic and other Evolution Equations,” De Gruyter, 2001.
- A. K. Amirov, “Integral Geometry and Inverse Problems for Kinetic Equations,” VSP, Utrecht The Netherlands, 2001.
- A. Kh. Amirov, “Uniqueness of the solution of an inverse problem for kinetic equation,” Sibirsk. Mat. Zh., vol. 28, no. 5, pp. 3-5, 1987.
- F. Gölgeleyen, A. Amirov, “On the approximate solution of a coefficient inverse problem for the kinetic equation,” Mathematical Communications, vol. 16, no. 1, pp. 283-298, 2011.
- M. M Lavrentiev, V.G. Romanov, and S. P. Shishatskii, “Ill-Posed Problems of Mathematical Physics and Analysis,” American Mathematical Society, Providence, 1986. V. G. Romanov, “Integral Geometry and Inverse Problems for Hyperbolic Equations,” Springer-Verlag, 1974.
- J. Radon, “Über die Bestimmung von Funktionen durch ihre Integral-werte längs gewisser Mannigfaltigkeiten,” Berichte Sächsische Akademie der Wissenschaften, Leipzig, Math Nat kl. vol. 69, pp. 262–277, 1917.
- J. F. John, “Bestimmung einer Funktion aus ihren Integralen über gewisse Mannigfaltigkeiten,” Mathematische Annalen, vol. 109, no. 1, pp. 488-520, 1934.
- M. V. Klibanov, and A. A. Timonov, “Carleman Estimates for Coefficient Inverse Problems and Numerical Applications,” De Gruyter, 2012.
- M. Bellassoued, and M. Yamamoto, “Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems,” Tokyo, Springer Japan, 2017.
- V. Isakov, “Inverse Problems for Partial Differential Equations,” New York, Springer, vol. 127, 2016.
There are 10 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | April 30, 2023 |
| Published in Issue | Year 2023 Volume: 11 Issue: 2 |
