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

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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

Author Details

Yanbing Yang

Shaobin Huang