THE INVERSE CALDERÓN’S PROBLEM

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Published: Dec 17, 2024
DOI: https://doi.org/10.57107/hyw.v4i1.88
Keywords:
Inverse Calderón’s problem Stationary Schrödinger equation Laplacian operator electric potential Carleman estimates

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George J. Bautista
Universidad Tecnológica de los Andes, UTEA, Sede Abancay, Av. Perú 700, Apurímac, Perú.
https://orcid.org/0000-0003-2396-8631
Leyter Potenciano Machado
Universidad Tecnológica de los Andes, UTEA, Sede Abancay, Av. Perú 700, Apurímac, Perú.
https://orcid.org/0000-0001-6048-4674

Abstract

This article addresses the Calderón inverse problem: is it possible to recover electric potentials of an object solely from measurements on its boundary? Using Carleman estimates for the Laplacian operator, we provide an affirmative answer. We explore the application of these estimates for the recovery of the electric potential inside an object, using only measurements of current flow on its boundary. This problem, recognized in Mathematical Physics as the inverse Calderón problem, involves the use of advanced mathematical tools to formalize the theoretical framework for the recovery of internal physical properties from external data and measurements.

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How to Cite
J. Bautista, G., & Potenciano Machado, . L. (2024). THE INVERSE CALDERÓN’S PROBLEM. Revista De Investigación Hatun Yachay Wasi, 4(1), 90–100. https://doi.org/10.57107/hyw.v4i1.88
Issue
Vol. 4 No. 1 (2025): La Revista de Investigación Hatun Yachay Wasi
Section
Artículos
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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