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NONEXISTENCE OF GLOBAL SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATION WITH MATERIAL DAMPING

NONEXISTENCE OF GLOBAL SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATION WITH MATERIAL DAMPING
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摘要 Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexitence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given. Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexitence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given.
作者 宋长明
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第7期975-981,共7页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China (Nos. 10371073 and 10572156) the Natural Science Foundation of Henan Province of China (No.0611050500)
关键词 nonexistence of global solution initial-boundary value problem nonlinear hyperbolic equation material damping nonexistence of global solution initial-boundary value problem nonlinear hyperbolic equation material damping
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参考文献1

  • 1V. K. Kalantarov,O. A. Ladyzhenskaya.The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types[J].Journal of Soviet Mathematics.1978(1)

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