EN
Solvability of an Inverse Problem for an Elliptic-Type Equation
Abstract
In this study, we consider an inverse problem of determining an unknown source function in the right-hand side of an elliptic equation which is ill-posed in the Hadamard sense. To investigate the solvability of the problem, we reduce it to a Dirichlet problem for a third-order partial differential equation with homogeneous boundary condition. Since the problem is linear, the proof of the uniqueness theorem is based on the Fredholm Alternative Theorem. We prove the existence of the solution to the problem by using the Galerkin method.
Keywords
References
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Details
Primary Language
English
Subjects
Applied Mathematics (Other)
Journal Section
Research Article
Publication Date
March 28, 2024
Submission Date
September 13, 2023
Acceptance Date
February 26, 2024
Published in Issue
Year 2024 Volume: 45 Number: 1
APA
Kaytmaz, Ö., & Yıldız, M. (2024). Solvability of an Inverse Problem for an Elliptic-Type Equation. Cumhuriyet Science Journal, 45(1), 130-134. https://doi.org/10.17776/csj.1359651