Uniqueness of solution of an inverse source problem for ultrahyperbolic equations
Fikret GölgeleyenDepartment of Mathematics, Faculty of Arts and Sciences, Zonguldak Bülent Ecevit University, Zonguldak 67100, TurkeyMasahiro YamamotoDepartment of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan
2019en
ABI
Abstract
Abstract The aim of this article is to investigate the uniqueness of solution of an inverse source problem for ultrahyperbolic equations. We first reduce the inverse problem to a Cauchy problem for an integro-differential equation and then by using a pointwise Carleman type inequality we prove the uniqueness.
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