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

Journal Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945
Output data Year: 2022, Volume: 30, Number: 2, Pages: 41-63 Pages count : 22 DOI: 10.1515/jiip-2021-0072
Tags Heat, damped wave, Euler–Bernoulli and Kirchhoff equations, inverse source problem, final time output, uniqueness, stability, stability radius
Authors Romanov Vladimir 1,2,3 , Hasanov Alemdar 4
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, Novosibirsk, 630090, Russian Federation
3 Mathematical Center in Akademgorodok, Novosibirsk, 630090, Russian Federation
4 Department of Mathematics, Kocaeli University, Izmit - Kocaeli;, Sehit Ekrem District, Altunşehir Str., Ayazma Villalari, No: 22. Bahčecik - Başiskele, Kocaeli, 41030, Turkey

Funding (1)

1 Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok
075-15-2019-1613, 075-15-2022-281

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.
Cite: Romanov V. , Hasanov A.
Uniqueness and stability analysis of final data inverse source problems for evolution equations
Journal of Inverse and Ill-Posed Problems. 2022. V.30. N2. P.41-63. DOI: 10.1515/jiip-2021-0072 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Nov 21, 2021
Accepted: Mar 7, 2022
Identifiers:
Web of science: WOS:000787924500001
Scopus: 2-s2.0-85129711650
Elibrary: 48583122
OpenAlex: W4224979766
Citing:
DB Citing
Scopus 9
Web of science 7
OpenAlex 10
Elibrary 3
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