Research Article

On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions

Volume: 41 Number: 2 June 25, 2020
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On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions

Abstract

An inverse boundary value problem for a second-order elliptic equation with periodic and integral condition is investigated. The problem is considered in a rectangular domain. To investigate the solvability of the inverse problem, we perform a conversion from the original problem to some auxiliary inverse problem with trivial boundary conditions. By the contraction mapping principle we prove the existence and uniqueness of solutions of the auxiliary problem. Then we make a conversion to the stated problem again and, as a result, we obtain the solvability of the inverse problem.

Keywords

References

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  7. [7] Aliyev R. A., On determining the coefficients of a linear elliptic equation, Sib. Journal of industry Mathematics, 19(2) (2016) 17-28
  8. [8] Solovyev V. V., Inverse problems for elliptic equations on a plane. Journal of Dif. Equations, 42(8) (2008) 1106-1114.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yaşar Mehraliyev
0000-0002-2054-3219
Azerbaijan

Nergiz Heydarzade
Azerbaijan

Publication Date

June 25, 2020

Submission Date

February 4, 2020

Acceptance Date

April 18, 2020

Published in Issue

Year 2020 Volume: 41 Number: 2

DOI

https://doi.org/10.17776/csj.684366

IZ

https://izlik.org/JA97LT63CZ

Cite

RIS / Bibtex
APA
Amirov, R., Mehraliyev, Y., & Heydarzade, N. (2020). On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions. Cumhuriyet Science Journal, 41(2), 443-455. https://doi.org/10.17776/csj.684366

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