Mathematical modeling

Inverse problems of identification of pointwise sources in parabolic problems

L. V. Neustroeva, Shmorgan Sergey A

Yugra State University, Khanty-Mansiysk

Abstract: The question of well-posedness in Sobolev spaces of parabolic inverse problems on recovering the source is considered. The unknowns are a solution to the equation and its the right-hand side which is representable in the form of a sum of the products of functions depending on time and Dirac delta-functions.

Keywords: inverse problem, parabolic equation, pointwise source

UDC: 517.956

DOI: 10.25587/2411-9326-2025-2-96-97