Volume 31, Issue 3
Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level

Yanbing Yang and Shaobin Huang

10.4208/jpde.v31.n3.6

J. Part. Diff. Eq., 31 (2018), pp. 274-280.

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  • 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.

  • History

Published online: 2018-09

  • AMS Subject Headings

O175.29

  • Cited by