The Asymptotic Behavior of the Solutions of Degenerate Parabolic Equations
Catherine Bandle, M. A. Pozio, Alberto Tesei · Transactions of the American Mathematical Society · 1987
Existence of stationary states is established by means of the method of upper and lower solutions. The structure of the solution set is discussed and a uniqueness property for certain classes is proved by a generalized maximum principle. It is then shown that all solutions of the parabolic equation converge to a stationary state.