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Hölder stability in determining the potential and the damping coefficient in a wave equation

Hölder stability in determining the potential and the damping coefficient in a wave equation We improve the preceding results obtained by Ammari and Choulli (J Differ Equ 259(7):3344–3365, 2015). They concern the stability issue of the inverse problem that consists in determining the potential and the damping coefficient in a wave equation from an initial-to-boundary operator. We partially modify the arguments in Ammari and Choulli  (2015) to show that actually we have a local Hölder stability instead of logarithmic stability. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Hölder stability in determining the potential and the damping coefficient in a wave equation

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References (28)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-018-0476-9
Publisher site
See Article on Publisher Site

Abstract

We improve the preceding results obtained by Ammari and Choulli (J Differ Equ 259(7):3344–3365, 2015). They concern the stability issue of the inverse problem that consists in determining the potential and the damping coefficient in a wave equation from an initial-to-boundary operator. We partially modify the arguments in Ammari and Choulli  (2015) to show that actually we have a local Hölder stability instead of logarithmic stability.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Oct 20, 2018

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