An inverse problem for the transmission wave equation with Kelvin–Voigt damping.

In this paper, we consider a transmission wave problem with Kelvin–Voigt damping in two embedded domains in R n . We construct a global Carleman estimate for the transmission strongly damped wave equation with discontinuous coefficients. With the new Carleman estimate, we prove the Lipschitz stability and uniqueness of the inverse problem of determining the coefficient of the zeroth-order term in the equation with a single measurement observed in any small domain located in the outer domain. [ABSTRACT FROM AUTHOR]