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

Date

2018-08-22

Authors

Yang, Yanbing
Tian, Xueteng
Zhang, Meina
Shen, Jihong

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Kirchhoff-type problem, Parabolic equations, Fractional p-Laplacian, Blow-up of solutions, Blow-up time

Citation

Yang, Y., Tian, X., Zhang, M., & Shen, J. (2018). Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian. <i>Electronic Journal of Differential Equations, 2018</i>(155), pp. 1-22.

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Attribution 4.0 International

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