Uniqueness and stability analysis of final data inverse source problems for evolution equations

V. G. Romanov, Alemdar Hasanov

2022Journal of Inverse and Ill-Posed Problems15 citationsDOI

Abstract

This article proposes a unified approach to the issues of uniqueness and Lipschitz stability for the final data inverse source problems of determining the unknown spatial load F(x) in the evolution equations. The approach is based on integral identities outlined here for the one- dimensional and multidimensional heat equations

Topics & Concepts

UniquenessLipschitz continuityInverse problemStability (learning theory)InverseApplied mathematicsMathematicsMathematical analysisComputer scienceGeometryMachine learningNumerical methods in inverse problemsMicrowave Imaging and Scattering AnalysisUltrasonics and Acoustic Wave Propagation