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Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations

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  • Yaojun Ye

Abstract

This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.

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  • Yaojun Ye, 2007. "Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations," International Journal of Differential Equations, Hindawi, vol. 2007, pages 1-9, May.
    • Handle: RePEc:hin:jnijde:019685
    DOI: 10.1155/2007/19685
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