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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
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摘要 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.
作者 YANG Yanbing HUANG Shaobin YANG Yanbing;HUANG Shaobin(College of Science, Harbin Engineering University, Harbin 150001, China.;College of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China.)
出处 《Journal of Partial Differential Equations》 CSCD 2018年第3期274-280,共7页 偏微分方程(英文版)
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