Analysis and Probability Seminar

Abstract: Inverse problems of spectral analysis consists in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology, and other branches of natural sciences and engineering. In this talk, we propose a method for solving an inverse problem from a given set of the output boundary values of a solution satisfying some known initial conditions for a set of values of the spectral parameter. This problem includes special cases, such as the inverse two-spectra problem.

References:
[1] Kravchenko V. V., Khmelnytskaya K. V., Çetinkaya F. A. (2022) Recovery of inhomogeneity from output boundary data. Mathematics. 10 (22): 4349
[2] Çetinkaya F. A., Khmelnytskaya K. V., Kravchenko V. V. (2023) Neumann Series of Bessel Functions for Inverse Coefficient Problems. Math. Meth. Appl. Sci. 1-15.