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

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.

preprint2015arXivOpen access
Kais AmmariMourad Choulli
math.AP
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Kais AmmariMourad Choulli

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