The problem of determining source term in a kinetic equation in an unbounded domain
Ozlem Kaytmaz
article (Uluslararası, Hakemli) | Yazar(lar): Ozlem Kaytmaz | Yıl: 2024 | Dergi/Kurum: AIMS MATHEMATICS | İndeks: WOS.SCI | DOI: 10.3934/math.2024447 | Anahtar Kelimeler: kinetic equation, inverse problem, unbounded domain, uniqueness, pointwise Carleman estimate — Özet: In this paper, we deal with an inverse problem o
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.