ENERGY DECAY OF SOLUTIONS TO A NONLINEAR EQUATION ARISING FROM ELASTIC WAVEGUIDE MODEL

ENERGY DECAY OF SOLUTIONS TO A NONLINEAR EQUATION ARISING FROM ELASTIC WAVEGUIDE MODEL

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摘要 In this paper, we study the asymptotic behavior of solutions to the initial boundary value problem for a nonlinear equation arising from an elastic waveguide model. We prove that under rather mild conditions the initial boundary value problem possesses global solutions which decay at an exponential rate. In this paper, we study the asymptotic behavior of solutions to the initial boundary value problem for a nonlinear equation arising from an elastic waveguide model. We prove that under rather mild conditions the initial boundary value problem possesses global solutions which decay at an exponential rate.

作者 Zhihua Song

机构地区 Dept. of Math.

出处《Annals of Differential Equations》 2013年第1期75-80,共6页 微分方程年刊（英文版）

关键词 initial boundary value problem nonlinear wave equation asymptotic behavior of solutions initial boundary value problem nonlinear wave equation asymptotic behavior of solutions

分类号 O175.8 [理学—基础数学]

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Annals of Differential Equations

2013年第1期

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ENERGY DECAY OF SOLUTIONS TO A NONLINEAR EQUATION ARISING FROM ELASTIC WAVEGUIDE MODEL

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