Gevrey-type results in the identification of the conductivity coefficient in Maxwell integrodifferential equations

In this paper we determine, under a suitable additional information and in a framework of Gevrey-type functions with respect to the variable x1, the spatial part p(x1, x3) of the factorised kernel σ1 (x1, x3, t) = p (x1, x3)k(t) in the integrodifferential Maxwell system related to a spatial domain of the form Ω × R × R+, where Ω is an interval in R. In our context determining p means to show locally in space existence, uniqueness and continuous dependence of p on the data.