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

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.

References in corpus (2)

• Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation
• Determining a boundary coefficient in a dissipative wave equation: Uniqueness and directional lipschitz stability

Cited by in corpus (1)

• A global stability estimate for the photo-acoustic inverse problem in layered media