| Contents |
| We study the stability of the unique continuation for the anisotropic wave operator, with coefficients independent of time. Using a Carleman-type estimate by Tataru and other tools of microlocal analysis and subharmonic functions, we prove a logarithmic inequality in a ball whose radius has an explicit dependence on the $C^1$-norm of the coefficients and on the other geometric properties of the operator. As possible application we consider the stability estimate for the
inverse conductivity problem on a Riemannian manifold, in the hyperbolic case. |
|