Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example
Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example
We prove a Carleman estimate and a logarithmic stability estimate for an inverse problem in three-dimensional viscoelasticity. More precisely, we obtain logarithmic stability for the inverse problem of recovering the spatial part of a viscoelastic coefficient of the form p(x)h(t) from a unique measurement on an arbitrary part of the …