We consider an inverse problem for the Liouville Equation. We present the solvability conditions and obtain numerical solution of the problem based on the nite dierence approximation.
Amirov, A. Kh., (2001), Integral Geometry and Inverse Problems for Kinetic Equations, VSP, Utrecht, The Netherlands.
Anikonov, Yu. E. and Amirov, A. Kh., (1983), A uniqueness theorem for the solution of an inverse problem for the kinetic equation, Dokl. Akad. Nauk SSSR., 272 (6), pp. 1292-1293.
Anikonov, Yu. E., (2001), Inverse Problems for Kinetic and other Evolution Equations, VSP, Utrecht, The Netherlands.
Zhenglu, J., (2002), On the Liouville equation, Transport theory and statistical physics, 31 (3), pp. 267-272.
Prilepko, A. I., Orlovsky, D. G. and Vasin, I. A., (2000), Methods for Solving Inverse Problems in Mathematical Physics, Marcel Dekker, Inc., New York.
G¨olgeleyen, I., (2013), An inverse problem for a generalized transport equation in polar coordinates and numerical applications, Inverse problems, 29 (9), 095006.
Amirov, A., Ustao˘glu, Z. and Heydarov, B., (2011), Solvability of a two dimensional coefficient inverse problem for transport equation and a numerical method, Transport theory and statistical physics, 40 (1), pp. 1-22.
Amirov, A., G¨olgeleyen, F. and Rahmanova, A., (2009), An inverse problem for the general kinetic equation and a numerical method, CMES, 43 (2), pp. 131-147.
Liboff, R. L., (2003), Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, 3rd ed. Springer-Verlag, New York.
Amirov, A. Kh., (2001), Integral Geometry and Inverse Problems for Kinetic Equations, VSP, Utrecht, The Netherlands.
Anikonov, Yu. E. and Amirov, A. Kh., (1983), A uniqueness theorem for the solution of an inverse problem for the kinetic equation, Dokl. Akad. Nauk SSSR., 272 (6), pp. 1292-1293.
Anikonov, Yu. E., (2001), Inverse Problems for Kinetic and other Evolution Equations, VSP, Utrecht, The Netherlands.
Zhenglu, J., (2002), On the Liouville equation, Transport theory and statistical physics, 31 (3), pp. 267-272.
Prilepko, A. I., Orlovsky, D. G. and Vasin, I. A., (2000), Methods for Solving Inverse Problems in Mathematical Physics, Marcel Dekker, Inc., New York.
G¨olgeleyen, I., (2013), An inverse problem for a generalized transport equation in polar coordinates and numerical applications, Inverse problems, 29 (9), 095006.
Amirov, A., Ustao˘glu, Z. and Heydarov, B., (2011), Solvability of a two dimensional coefficient inverse problem for transport equation and a numerical method, Transport theory and statistical physics, 40 (1), pp. 1-22.
Amirov, A., G¨olgeleyen, F. and Rahmanova, A., (2009), An inverse problem for the general kinetic equation and a numerical method, CMES, 43 (2), pp. 131-147.
Liboff, R. L., (2003), Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, 3rd ed. Springer-Verlag, New York.