具有p-Laplace算子的基尔霍夫型抛物方程解的爆破性质

Blow-Up Properties of Solution for a Parabolic Equations of Kirchhoff Type Involving p-Laplacian

本文研究了一类具有p-Laplace算子的基尔霍夫型抛物方程初边值问题解的爆破性质。利用能量估计和微分不等式技巧,得到了不同的初始能量条件下问题解的爆破时间的上界和下界。

In this paper,the initial-boundary value problem for parabolic equations of Kirchhoff type involving p-Laplacian is studied.Applying energy estimation and differential inequality techniques,the upper and lower bounds for blow-up time are obtained under different initial energy conditions.