Mathematical modeling

Inverse problems of identification of coefficients and the right-hand side with boundary integral data

S. G. Pyatkov

Yugra State University, Khanty-Mansiysk

Abstract: The question of regular solvability in Sobolev spaces of parabolic inverse problems is considered. The unknowns are coefficient of the equations and the right-hand side which are representable in the form of a finite segments of the series in some basis whose coefficients depending on time are to be determined.

Keywords: inverse problem, parabolic equation, integral overdetermination conditions

UDC: 517.956

DOI: 10.25587/2411-9326-2025-2-104-105