On the influence of some absorption terms on the solutions of nonlinear parabolic equations

Abstract In this paper we study the influence of an absorption term of power type on the regularity and time behavior of the solutions to a class of nonlinear parabolic problems. We will show that important and unexpected changes occur. For example, in absence of a forcing term it can produce an immediate boundedness in cases when it is well known that, in absence of such a lower-order term, the solutions remain unbounded. Moreover, we prove that regularization phenomena appear also in presence of forcing terms.