Existence and Regularity of Solutions to a Class of Nonlinear Degenerate Parabolic Equations

This paper studies a class of nonlinear degenerate parabolic equations, in which the main operators goes to zero as the solution u tends to infinity (that is, the diffusion goes to zero when u goes to infinity). By choosing a suitable test function using a priori estimation method and compactness theory, the existence and regularity of weak solutions to the problem are proved.