Jian Li, Yuzhu Han, Haixia Li
Abstract:
In this article, we study blow-up and extinction properties of solutions
to a fast diffusion p-Laplace equation with a nonlocal term under
homogeneous Neumann boundary conditions.
We first show that the solutions with positive initial energy will blow
up in finite time, and then give some sufficient conditions for the solutions
to vanish in finite time, using the method of integral estimates.
Moreover, the decay rates near the extinction time are also derived.
Submitted June 2, 2016. Published August 29, 2016.
Math Subject Classifications: 35K55, 35B40.
Key Words: Blow-up; extinction; non-extinction; Neumann boundary condition.
Show me the PDF file (234 KB), TEX file for this article.
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Jian Li Information Technology College Jilin Agricultural University Changchun 130118, China email: liemperor@163.com |
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Yuzhu Han School of Mathematics Jilin University Changchun 130012, China email: yzhan@jlu.edu.cn |
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Haixia Li School of Mathematics Changchun Normal University Changchun 130032, China email: lihaixia0611@126.com |
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