Stability estimates for an inverse Steklov problem in a class of hollow spheres

In this paper, we study an inverse Steklov problem in a class of n-dimensional manifolds having the topology hollow sphere and equipped with warped product metric. Precisely, aim at studying continuous dependence warping function defining respect to spectrum. We first show that knowledge spectrum up exponential decreasing error is enough determine uniquely neighbourhood boundary. Second, when functions are symmetric 1/2, prove log-type stability estimate problem. As last result, for corresponding Calderón