Identification of Time and Space Dependent Relaxation Kernels for Materials with Memory Related to Cylindrical Domains, II*

In this paper we prove the main abstract results stated in Part I J. Math. Anal. Appl., in press.. Taking advantage of such results we prove the existence and uniqueness of a time and space-dependent relaxation kernel in an integrodifferen- tial parabolic equation related to cylindrical domains of the form Vs a, b.=V2 , V2 being a smooth enough domain in Rn.