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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/155/abstr.html |
| _version_ | 1819150746812153856 |
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| author | Yanbing Yang Xueteng Tian Meina Zhang Jihong Shen |
| author_facet | Yanbing Yang Xueteng Tian Meina Zhang Jihong Shen |
| author_sort | Yanbing Yang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T14:22:24Z |
| format | Article |
| id | doaj.art-609231081e9448a0a0d3b5d5e9144d36 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T14:22:24Z |
| publishDate | 2018-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-609231081e9448a0a0d3b5d5e9144d362022-12-21T18:22:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-08-012018155,122Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-LaplacianYanbing Yang0Xueteng Tian1Meina Zhang2Jihong Shen3 Harbin Engineering Univ., Harbin, China Harbin Engineering Univ., Harbin, China Harbin Engineering Univ., Harbin, China Harbin Engineering Univ., Harbin, China 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.http://ejde.math.txstate.edu/Volumes/2018/155/abstr.htmlKirchhoff-type problemparabolic equationfractional p-Laplacianblow-up of solutionblow-up time |
| spellingShingle | Yanbing Yang Xueteng Tian Meina Zhang Jihong Shen Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian Electronic Journal of Differential Equations Kirchhoff-type problem parabolic equation fractional p-Laplacian blow-up of solution blow-up time |
| title | Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian |
| title_full | Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian |
| title_fullStr | Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian |
| title_full_unstemmed | Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian |
| title_short | Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian |
| title_sort | blowup of solutions to degenerate kirchhoff type diffusion problems involving the fractional p laplacian |
| topic | Kirchhoff-type problem parabolic equation fractional p-Laplacian blow-up of solution blow-up time |
| url | http://ejde.math.txstate.edu/Volumes/2018/155/abstr.html |
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