Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Cauchy problem wave equation sixth order blow up arbitrarily positive initial energy
• 年，卷（期）: 2018,（3）
• 页码范围: 274-280
• 页数: 7页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v31.n3.6

摘要

This paper is concerned with the Cauchy problem for some 1-D nonlinear wave equations of sixth order with linear restoring force.By utilizing the concavity method and the technique of anti-dissipativity a finite time blow up result of certain solutions with arbitrarily positive initial energy is presented.