Uniqueness and stability analysis of final data inverse source problems for evolution equations-Reference-Cited by-同舟云学术

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

Published:2022-04-28 Issue:3 Volume:30 Page:425-446
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Romanov Vladimir¹,Hasanov Alemdar²

Affiliation:

1. Sobolev Institute of Mathematics , 4 Acad. Koptyug avenue; and Mathematical Center in Akademgorodok, Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk , Russia

2. Department of Mathematics , Kocaeli University , Izmit - Kocaeli; and Şehit Ekrem District, Altunşehir Str., Ayazma Villalari, No: 22. Bahčecik - Başiskele, Kocaeli, 41030 , Turkey

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2021-0072/pdf

Reference18 articles.

1. O. Baysal and A. Hasanov, Solvability of the clamped Euler–Bernoulli beam equation, Appl. Math. Lett. 93 (2019), 85–90.

2. I. Bushuyev, Global uniqueness for inverse parabolic problems with final observation, Inverse Problems 11 (1995), no. 4, 11–16.

3. L. C. Evans, Partial Differential Equations, Grad. Stud. Math. 19, American Mathematical Society, Providence, 2002.

4. N. L. Gol’dman, On a counterexample of inverse parabolic problems with final overdetermination, Dokl. Math. 88 (2013), no. 5, 714–716.

5. A. Hasanov, V. Romanov and O. Baysal, Unique recovery of unknown spatial load in damped Euler–Bernoulli beam equation from final time measured output, Inverse Problems 37 (2021), no. 7, Paper No. 075005.

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