On the well-posedness of a Volterra equation with applications in the Navier-Stokes problem.

This paper is dedicated to the study of a family of nonlinear Volterra equations coming from the theory of viscoelasticity. We analyze the existence of local mild solutions to the problem and their possible continuation to a maximal interval of existence. We also consider the problem of continuous dependence with respect to initial data. [ABSTRACT FROM AUTHOR]