Inverse source problem for the hyperbolic equation with a time-dependent principal part

In this paper, we investigate the inverse problem on determining the spatial component of the source term in the hyperbolic equation with a time-dependent principal part. Based on a Carleman estimate for general hyperbolic operators, we prove a local stability result of Hölder type in both cases of...

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Bibliographic Details

Published in:	Journal of Differential Equations Vol. 262; no. 1; pp. 653 - 681
Main Authors:	Jiang, Daijun, Liu, Yikan, Yamamoto, Masahiro
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 05.01.2017
Subjects:	Carleman estimate Hyperbolic equation Inverse source problem Iterative thresholding algorithm Carleman estimate 65F10 Inverse source problem 35R30 65F22 Hyperbolic equation Iterative thresholding algorithm 35L20 65M32
ISSN:	0022-0396, 1090-2732
Online Access:	Get full text
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