Yanbing Yang, Xueteng Tian, Meina Zhang, Jihong Shen
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.
Submitted May 4, 2018. Published August 22, 2018.
Math Subject Classifications: 35R11, 35K55, 47G20.
Key Words: Kirchhoff-type problem; parabolic equation; fractional p-Laplacian;
blow-up of solution; blow-up time.
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Yanbing Yang College of Science Harbin Engineering University Harbin 150001, China email: yangyanbheu@163.com |
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Xueteng Tian College of Science Harbin Engineering University Harbin 150001, China email: 1490758004@qq.com |
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Meina Zhang College of Science Harbin Engineering University Harbin 150001, China email: meina_zhang@163.com |
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Jihong Shen College of Science Harbin Engineering University Harbin 150001, China email: shenjihong@hrbeu.edu.cn |
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