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

Authors

  • Yanbing Yang College of Science, Harbin Engineering University, Harbin 150001, China
  • Shaobin Huang College of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China

DOI:

https://doi.org/10.4208/jpde.v31.n3.6

Keywords:

Cauchy problem;wave equation;sixth order;blow up;arbitrarily positive initial energy.

Abstract

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.

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Published

2018-09-20

Issue

Vol. 31 No. 3 (2018)

Section

Articles

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