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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 & Shaobin Huang

DOI: 10.4208/jpde.v31.n3.6

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

Published online: 2018-09

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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.

  • Keywords

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

  • AMS Subject Headings

O175.29

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yangyanbheu@163.com (Yanbing Yang)

huangshaobin@hrbeu.edu.cn (Shaobin Huang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-274, author = {Yang , Yanbing and Huang , Shaobin}, title = {Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {3}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n3.6}, url = {http://global-sci.org/intro/article_detail/jpde/12709.html} }
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.

Yang , Yanbing and Huang , Shaobin. (2018). Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level. Journal of Partial Differential Equations. 31 (3). 274-280. doi:10.4208/jpde.v31.n3.6
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