Inverse problem of determining the density and two Lame coefficients by boundary data

In this paper we study an inverse problem of determining spatially varying density and two Lame coefficients by a single measurement of solution in a subboundary over a time interval. By assuming that, in a neighborhood of the boundary of the spatial domain, the density and the Lame coefficients are known, we prove a logarithmic stability estimate for the inverse problem with a single measurement of data on an arbitrarily given subboundary.