The problem of determining multiple coefficients in an ultrahyperbolic equation
Fikret Golgeleyen
article (Uluslararası, Hakemli) | Yazar(lar): Fikret Golgeleyen | Yıl: 2023 | Dergi/Kurum: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | İndeks: WOS.SCI | DOI: 10.1515/jiip-2022-0091 | Anahtar Kelimeler: Ultrahyperbolic equation, inverse coefficient problem, semi-geodesic coordinates, the solvability, Carleman estimates
In this article, we discuss an inverse problem of determining unknown coefficients of the first-order derivatives in an ultrahyperbolic equation. By a finite set of measurements, we prove the uniqueness of solution of the problem in semi-geodesic coordinates under some conditions on the principal coefficients of the equation. Our main tool is a Carleman estimate.