The problem of determining multiple coefficients in an ultrahyperbolic equation-Reference-Cited by-同舟云学术

The problem of determining multiple coefficients in an ultrahyperbolic equation

Published:2023-06-27 Issue:6 Volume:31 Page:937-948
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Gölgeleyen Fikret¹^ORCID

Affiliation:

1. Department of Mathematics , Faculty of Science , Zonguldak Bülent Ecevit University , Zonguldak , Türkiye

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2022-0091/pdf

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