数学杂志2025，Vol.45Issue(5)：400-408,9.
四阶伪抛物型方程解的爆破现象
BLOW-UP PHENOMENA FOR FOURTH ORDER PESUDO-PARABOLIC EQUATION
摘要
Abstract
This paper considers a initial-boundary value problem for four-order pesudo-parabolic equation ut+△2u+α△u-ω△ut=|u|q-1u.By applying potential well argument,we obtain the global existence and blow-up of solutions for the low initial energy J(u0)＜d.Meanwhile,the upper bound of blow-up time is estimated.关键词
伪抛物型方程/全局存在/爆破/爆破时间Key words
pesudo-parabolic equation/global existence/blow-up/blow-up time分类
数理科学引用本文复制引用
杨春晓,段晨琰..四阶伪抛物型方程解的爆破现象[J].数学杂志,2025,45(5):400-408,9.基金项目
国家自然科学基金资助(12101482),陕西省自然科学基金资助(2021JQ-495). （12101482）
