On the influence of some absorption terms on the solutions of nonlinear parabolic equations
Maria Michaela Porzio · Annali di Matematica Pura ed Applicata (1923 -) · 2025
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.