Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II (Q1378412)

In the paper the authors prove the main abstract results stated in Part I [ibid. 213, No. 1, 32-62 (1997; reviewed above)]. Taking advantage of such results, they prove the existence and uniqueness of a time and space-dependent relaxation kernel in an integro-differential parabolic equation related to cylindrical domains of the form \(\Omega= (a,b)\times \Omega_2\), \(\Omega_2\) being a smooth enough domain in \(\mathbb{R}^n\).