2015•arXiv (Cornell University)Open access
Logarithmic stability in determining a boundary coefficient in an ibvp\n for the wave equation
Kaïs Ammari, Mourad Choulli
Open full text 10 citations
Abstract
In [2] we introduced a method combining together an observability inequality\nand a spectral decomposition to get a logarithmic stability estimate for the\ninverse problem of determining both the potential and the damping coefficient\nin a dissipative wave equation from boundary measurements. The present work\ndeals with an adaptation of that method to obtain a logarithmic stability\nestimate for the inverse problem of determining a boundary damping coefficient\nfrom boundary measurements. As in our preceding work, the different boundary\nmeasurements are generated by varying one of the initial conditions.\n
Open-access reader