TY - JOUR T1 - Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level AU - Yang , Yanbing AU - Huang , Shaobin JO - Journal of Partial Differential Equations VL - 3 SP - 274 EP - 280 PY - 2018 DA - 2018/09 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n3.6 UR - https://global-sci.org/intro/article_detail/jpde/12709.html KW - Cauchy problem KW - wave equation KW - sixth order KW - blow up KW - arbitrarily positive initial energy. AB -

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.