A discontinuous Galerkin method with interior penalties is proposed for solving nonlinear Sobolev equations with evolution terms. In this sense, a symmetric semi-discrete and a family of symmetric fully-discrete time approximate schemes are formulated.
-version error estimates are analyzed for these schemes. For the semi-discrete time scheme an a priori
error estimate is derived and similarly,
error bounds are obtained for the fully-discrete time schemes. These results indicate that spatial rates in
and time truncation errors in