具对数源项的四阶双曲方程解的爆破  

Blow up for a class of fourth order hyperbolic equation with logarithmic source term

作　　者：初颖[1] 程镱 CHU Ying;CHENG Yi(School of Science,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学理学院,吉林长春130022

出　　处：《吉林师范大学学报（自然科学版）》2021年第1期57-60,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：吉林省科技发展计划项目(20180520025JH);吉林省教育厅“十三五”科学计划项目(JJKH20190547KJ)。

摘　　要：主要研究了一类具对数源项的四阶双曲方程.首先利用Galerkin逼近得到了弱解的局部存在性,然后借助位势井方法证明了一定条件下解在无穷远处的爆破性.It was studied for a class of fourth-order hyperbolic equations with logarithmic source term.Local existence of the weak solution was obtained by Galerkin approximation.By using potential well method,the blow-up result of the solution at infinity under certain conditions was derived.

关 键 词：双曲方程 对数源项 位势井 爆破 

分 类 号：O175.2[理学—基础数学]