Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian

Abstract

We study an initial boundary value problem for Kirchhoff-type parabolic equation with the fractional p-Laplacian. We first discuss the blow up of solutions in finite time with three initial energy levels: subcritical, critical and supercritical initial energy levels. Then we estimate an upper bound of the blowup time for low and for high initial energies.

Keywords

• Kirchhoff-type problem
• parabolic equation
• fractional p-Laplacian
• blow-up of solution
• blow-up time