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

Romanov V., Hasanov A.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, vol.30, pp.425-446, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30
  • Publication Date: 2022
  • Doi Number: 10.1515/jiip-2021-0072
  • Journal Name: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.425-446
  • Keywords: Heat, damped wave, Euler-Bernoulli and Kirchhoff equations, inverse source problem, final time output, uniqueness, stability, stability radius, UNKNOWN SPATIAL LOAD, PARABOLIC PROBLEMS, BEAM, SOLVABILITY
  • Kocaeli University Affiliated: Yes

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