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

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

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...

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Bibliographic Details
Main Authors: Yanbing Yang, Xueteng Tian, Meina Zhang, Jihong Shen
Format: Article
Language:English
Published: Texas State University 2018-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Kirchhoff-type problem
parabolic equation
fractional p-Laplacian
blow-up of solution
blow-up time
Online Access:http://ejde.math.txstate.edu/Volumes/2018/155/abstr.html
Description
Summary: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.
ISSN:1072-6691

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