On the general and optimal decay in some Viscoelastic problems

In this project we consider a viscoelastic wave equation, where the relaxation function satisfies We try to find suitable conditions on the functions and , for which we obtain decay and a rate of decay which may depend on H and . This will generalize the decay results in the literature for with more general and with more general. If succeeded, we push the obtained result to Timoshenko and Bresse systems.