LOCAL EXISTENCE AND BLOW UP OF SOLUTIONS FOR A COUPLED VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH DEGENERATE DAMPING.

In this paper, we consider the initial boundary value problem of a coupled viscoelastic Kirchhoff-type equations with degenerate damping:... Firstly, we prove a local existence theorem by using the Faedo-Galerkin approximations. Then, we study blow up of solutions when initial energy is positive. [ABSTRACT FROM AUTHOR]