Work

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

Year: 2025

Type: article

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.

Source: Annali di Matematica Pura ed Applicata (1923 -)

DOI: 10.1007/s10231-025-01571-2

Author: Maria Michaela Porzio

Institution: Sapienza University of Rome

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Sapienza Università di Roma