Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results

Abstract

The main purpose of this article is to establish new uniqueness results for Calderón-type inverse problems related to damped nonlocal wave equations. To achieve this goal, we extend the theory of very weak solutions to our setting, which allows to deduce an optimal Runge approximation theorem. With this result at our disposal, we can prove simultaneous determination results in the linear and semilinear regime.