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

2016/09/20 by Kaïs Ammari, Ammari, Kais, Mourad Choulli +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · doi:10.48550/arxiv.1609.06102

openalex publication_date 2016/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Hölder stability instead of logarithmic stability.

Citations

• Logarithmic stability in determining a boundary coefficient in an ibvp\n for the wave equation

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