Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential

Cubo 2026 Open access

Read full text
Authors: Erhan Pişkin, Ayşe Fidan, Jorge Ferreira, Mohammad Shahrouzi
DOI: 10.56754/0719-0646.2801.079
Cited by: 2
References: 20

Abstract

In this work, we consider the higher-order reaction-diffusion parabolic problem with time dependent coefficient. We prove the blow-up of solutions and obtain a lower and an upper bound for the blow-up time. Finally, we investigate the existence of a global weak solution to the problem.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Mathematical and Theoretical Epidemiology and Ecology Models Stability and Controllability of Differential Equations

Publication details

Journal / source
Cubo
Publisher
Universidad de La Frontera
Volume
28
Issue
1
Pages
79–79
Publication date
22 January 2026