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Blow-up of Solutions to a p -Kirchhoff-Type Parabolic Equation with General Nonlinearity
Journal of Dynamical and Control Systems ( IF 0.9 ) Pub Date : 2019-09-13 , DOI: 10.1007/s10883-019-09463-4
Haixia Li

In this paper, finite time blow-up property of solutions to a p-Kirchhoff-type parabolic equation with general nonlinearity is considered. Some sufficient conditions are given for the weak solutions to blow up in finite time. An upper bound for the blow-up time is also derived. The results partially generalize some recent ones reported by Han and Li (Comput Math Appl. 2018;75:3283–3297).

中文翻译:

具有一般非线性的ap-Kirchhoff型抛物型方程解的爆破。

本文考虑具有一般非线性的p -Kirchhoff型抛物方程解的有限时间爆破性质。为弱解在有限时间内爆炸提供了一些充分条件。还导出了爆燃时间的上限。结果部分概括了Han和Li(Comput Math Appl。2018; 75:3283–3297)最近报告的一些结果。
更新日期:2019-09-13
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