The Inverse Problem of Determining the Coefficients Elliptic Equation

Author:

Aliyeva Basti1ORCID

Affiliation:

1. Faculty of Economics of Turkish World, Department of Economics and Business Administration, Azerbaijan State University of Economics (UNEC), Baku, Istiglaliyat str. 6, AZ1001, AZERBAIJAN

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference10 articles.

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3. Baev. A.V., : Solution of Inverse Problems for Wave Equation with a Nonlinear Coefficient Pleiades Publishing, Ltd (Road Town, United Kingdom), (2021) volume 61, № 9 ,1511-1520 DOI

4. Baev.A.V., :On the Solution of One Inverse Problem for Shallow WaterEquations in a Pool of Variable Depth. Mathematical Models and Computer Simulations, (2021)volume 13, № 4, 543-551 DOI

5. Farajov.A.S.: On a solvability of the nonlinear inverse boundary value problem for the boussinesq equation. Advanced Mathematical Models & Applications 7(2), (2022) 241-248.

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