Local existence and uniqueness of solutions of a degenerate parabolic system
Dazhi Zhang, Jiebao Sun, Boying Wu · Advances in Difference Equations · 2011
Abstract This article deals with a degenerate parabolic system coupled with general nonlinear terms. Using the method of regularization and monotone iteration technique, we obtain the local existence of solutions to the Dirichlet initial boundary value problem. We also establish the uniqueness of the solution if the reaction terms satisfy the Lipschitz condition.