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

  • Received: 12 December 2023 Revised: 26 January 2024 Accepted: 22 February 2024 Published: 06 March 2024
  • MSC : 35A23, 35R30

  • 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.

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

    Related Papers:

  • 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.



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