Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level
Year: 2018
Author: Yanbing Yang, Shaobin Huang
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 3 : pp. 274–280
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n3.6
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 3 : pp. 274–280
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Cauchy problem