On weak regularity requirements of the relaxation modulus in viscoelasticity
The existence and uniqueness of solution to a one-dimensional hyperbolic integro-differential problem arising in vis- coelasticity is here considered. The kernel, in the linear viscoelasticity equation, represents the relaxation function which is characteristic of the considered material. Specifically, the case of a kernel, which does not satisfy the classical regularity requirements is analysed. This choice is suggested by applications according to the literature to model a wider variety of materials.