Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian
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Date
2018-08-22
Authors
Yang, Yanbing
Tian, Xueteng
Zhang, Meina
Shen, Jihong
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International