首都师范大学学报（自然科学版）2026，Vol.47Issue(1)：21-27,7.DOI:10.19789/j.1004-9398.2026.01.003
一类半线性伪抛物方程爆破时间的上下界估计
Upper and lower bounds of blow-up time for a class of semi-linear pseudo-parabolic equation
滕昊玥1
作者信息
- 1. 首都师范大学数学科学学院,北京 100048
- 折叠
摘要
Abstract
In this paper,the blow-up phenomena of a class of semi-linear pseudo-parabolic equations are studied,the estimation of upper and lower bounds of blow-up time under different initial conditions are given.To be specific,the lower bound of blow-up time under low initial energy is obtained by the means of using differential inequality technique,and the lower bound of blow-up time under high initial energy is obtained similarly.Then,the upper bound of blow-up time under any initial energy is obtained by the means of using convex method.关键词
半线性伪抛物方程/解爆破时间上下界的估计/微分不等式法/凸方法Key words
semi-linear pseudo-parabolic equation/upper and lower bounds of blow-up time/differential inequality method/convex method分类
数理科学引用本文复制引用
滕昊玥..一类半线性伪抛物方程爆破时间的上下界估计[J].首都师范大学学报（自然科学版）,2026,47(1):21-27,7.
