Blow-up for a degenerate and singular parabolic equation with a nonlocal source

Abstract

Abstract This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of the solution when time converges to the blow-up time is studied.

Keywords

• Degenerate and singular parabolic equations
• Nonlocal source
• Blow-up set
• Uniform blow-up profile