Problem of kernel recovering for the viscoelasticity equation (Q1930823)

The author investigates the inverse problem for the diffusion coefficient \(\mu\) for the viscoelastic equation of the form \[ u_{tt}-\mathrm{div}\left[ \mu(x) \nabla u+\int_0^t p(x,t-s) \nabla u(x,s) ds \right]=F. \] In the main results (Theorems 1,2) the author gives sufficient conditions on data guaranteeing the existence of a unique solution to the inverse problem for \(\mu\).