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Research Article | Open Access

The problem of determining source term in a kinetic equation in an unbounded domain

Department of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit University, Zonguldak 67100, Türkiye
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Abstract

In this paper, we deal with an inverse problem of determining the source function in a kinetic equation that is considered in an unbounded domain with Cauchy data. We prove the uniqueness of the solution of an inverse problem by means of a pointwise Carleman estimate. In recent years, kinetic equations have occurred in a variety of important fields and applications, such as aerospace engineering, semi-conductor technology, nuclear engineering, chemotaxis, and immunology.

Keywords

kinetic equationinverse problemunbounded domainuniquenesspointwise Carleman estimate
CLC number: 35A23, 35R30

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9184-9194
DOI: 10.3934/math.2024447

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Kaytmaz Ö. The problem of determining source term in a kinetic equation in an unbounded domain. AIMS Mathematics, 2024, 9(4): 9184-9194. https://doi.org/10.3934/math.2024447

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Received: 12 December 2023
Revised: 26 January 2024
Accepted: 22 February 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)