一类具有对数非线性项的伪抛物方程解的爆破  

Blow-up of solutions for a class of pseudo-parabolic equations with logarithmic nonlinearity

作　　者：吴秀兰 赵雅鑫 赵志文[2] WU Xiu-lan;ZHAO Ya-xin;ZHAO Zhi-wen(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130000,China;College of Mathematics and Computer,Jilin Normal University,Siping 136000,China)

机构地区：[1]长春理工大学数学与统计学院,吉林长春130000 [2]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2024年第3期62-67,共6页Journal of Jilin Normal University:Natural Science Edition

基　　金：吉林省科技发展计划项目(20240701058FG,20240101307JC,20210101151JC)。

摘　　要：研究了一类具有p-Laplacian算子和对数非线性项的抛物方程的初边值问题.利用凸引理、微分不等式技巧及位势井理论,研究了负初始能量及次临界初始能量下弱解在有限时间爆破,此外,给出了适当假设条件下爆破时间的上界和下界估计.It was studied that the initial boundary value problem of parabolic equation with p-Laplacian operator and logarithmic nonlinearity.By using convex lemma,differential inequality technique and potential well theory,the blow-up of weak solutions in finite time with negative initial energy and subcritical initial energy was studied.In addition,the upper and lower bounds of blow-up time estimates under appropriate assumptions were given.

关 键 词：P-LAPLACIAN方程 对数非线性项 爆破 

分 类 号：O175.2[理学—数学]