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 - <p>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.</p>