Life-Spans and Blow-Up Rates for aρ-Laplacian Parabolic Equation with General Source  

作　　者：LONG Qunfei 

机构地区：[1]School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China

出　　处：《Journal of Partial Differential Equations》2024年第2期187-197,共11页偏微分方程（英文版）

基　　金：Supported by the Doctoral Scientific Research Starting Foundation of Guizhou Normal University of China,2018(No.GZNUD[2018]34 and 11904/0519113).

摘　　要：This article investigates the blow-up results for the initial boundary value problem to the quasi-linear parabolic equation with p-Laplacian■where p≥2 and the function f(u)satisfies■for some positive constantsα,β,γwith 0<■,which has been studied under the initial condition Jp(u0)<0.This paper generalizes the above results on the following aspects:a new blow-up condition is given,which holds for all p>2;a new blow-up condition is given,which holds for p=2;some new lifespans and upper blow-up rates are given under certain conditions.

关 键 词：P-LAPLACIAN parabolic equation blow-ups life-spans blow-up rates 

分 类 号：O175.26[理学—数学]