Special Session 89: Partial Differential Equations: Diverse Applications and Connections

Behavior of the solutions to nonlinear parabolic equations with absorption terms
Maria Michaela MM Porzio
Sapienza University of Rome
Italy
Co-Author(s):    
Abstract:
In this talk we discuss 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 produces an immediately 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.