H{ö}lder stability in determining the potential and the damping coefficient in a wave equation

preprint2016arXivOpen access

Abstract

We improve the preceding results obtained by the first and the second authors in [3]. 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 [3] to show that actually we have H{ö}lder stability instead of logarithmic stability.

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