应用数学2024，Vol.37Issue(4)：924-934,11.
一类具有时变系数源项和应变项的半线性四阶波动方程解的高能爆破现象
Blow-up Phenomena for a Semilinear Fourth-Order Wave Equation with Time-varying Source and Strain Terms at High Energy Level
摘要
Abstract
This paper is concerned with the initial boundary value problem for a semilinear fourth-order wave equation with time-varying source and nonlinear strain terms under Dirichlet or Navier bound-ary condition.By utilizing the invariance of unstable set,contradiction argument and concavity method,we prove that the solution blows up in finite time at high energy level.关键词
四阶波动方程/时变系数源/应变项/高能爆破Key words
Fourth-order wave equation/Time-varying source/Strain term/Blow-up at high energy level分类
数理科学引用本文复制引用
赵元章,徐文静..一类具有时变系数源项和应变项的半线性四阶波动方程解的高能爆破现象[J].应用数学,2024,37(4):924-934,11.基金项目
山东省自然科学基金面上项目(ZR2019MA072) （ZR2019MA072）
