Gevrey-type results in the identification of lower order coefficients in linear hyperbolic integrodifferential equations

In this paper we determine, under a suitable additional information and in a framework of Gevrey (or analytic) functions with respect to a specific group of spatial variables, a coefficient q in a linear hyperbolic equation of the form (1.1) related to a spatial domain of the form × R+ × R+, where is a (possibly non-smooth) domain in Rn. In our context determining q means to show existence, uniqueness and continuous dependence of q on the data.