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arXiv · 1505.07248

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

Kais Ammari·Mourad Choulli
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Abstract

In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. The present work deals with an adaptation of that method to obtain a logarithmic stability estimate for the inverse problem of determining a boundary damping coefficient from boundary measurements. As in our preceding work, the different boundary measurements are generated by varying one of the initial conditions.

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Kais Ammari, Mourad Choulli. 2015-05-27. Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation. https://arxiv.org/abs/1505.07248

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