In this paper, we study the initial-boundary value problem of a class of
degenerate quasilinear hyperbolic equation with logarithmic
nonlinearity. By applying Galerkin method and the logarithmic Sobolev
inequality, we prove the existence of global weak solutions for this
problem. Meanwhile,the global nonexistence of solutions is verified by
means of the concavity analysis when the initial energy is positive and
appropriately bounded.