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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 15
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Articles

Stability estimate in the determination of a time-dependent coefficient for hyperbolic equation by partial Dirichlet-to-Neumann map

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Pages 2751-2782 | Received 11 Jan 2017, Accepted 26 Apr 2018, Published online: 03 Jul 2018
 

ABSTRACT

In this paper, we obtain stability estimates of recovery a time dependent coefficient q(t,x) in a wave equation, from partial observations on Q. We show in dimension n greater than two a log-type stability estimate in the determination of q from the local Dirichlet-to-Neumann map. Additionally, we prove that it can be stably recovered in a larger region of the domain by enlarging the set of data.

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the authors.

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