Error analysis of nonlinear evolution equations and associated dynamical systems

AbstractAs a continuation of our study on doubly nonlinear parabolic type equations, we investigate a time discretization of these equations by the Euler forward scheme. In addition to the standard existence, uniqueness and stability questions, we also address the problem of error estimate and the long time behavior of the solutions of the discrete problem. The existence of a compact attractor is proven and its Hausdorff dimension is estimated using CFT theory