The Inverse Problem of Determining the Coefficients Elliptic Equation

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Aliyeva B.

WSEAS Transactions on Mathematics, vol.22, pp.292-297, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 22
  • Publication Date: 2023
  • Doi Number: 10.37394/23206.2023.22.35
  • Journal Name: WSEAS Transactions on Mathematics
  • Journal Indexes: Scopus, INSPEC, zbMATH
  • Page Numbers: pp.292-297
  • Keywords: correct problem, elliptic equation, Inverse problem, quasilinear elliptic equation, regularizing algorithm, unknown coefficient
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The paper considers the inverse problem in determining unknown coefficients in a linear elliptic equation. Theorems of existence, uniqueness and stability of the solution of inverse problems for a linear equation of elliptic type are proved. Using the method of sequential measurements, a regularizing algorithm is constructed to determine several coefficients.