| 具有阻尼的半线性波动方程解的衰减估计 |
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| 引用本文： | 李岚,文斌,刘亚成.具有阻尼的半线性波动方程解的衰减估计[J].数学的实践与认识,2011,41(13). |
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| 作者姓名： | 李岚 文斌 刘亚成 |
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| 作者单位： | 1. 佳木斯大学理学院,黑龙江佳木斯,154007
2. 哈尔滨工程大学理学院,黑龙江哈尔滨,150001 |
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| 摘 要： | 研究具有阻尼的半线性波动方程的初边值问题u_(tt)-△u+βu_t=|u|~(p-1)u,x∈Ω,t>0u(x,0)=u_0(x),u_t(x,0)=u_1(x),x∈Ωu|_((?)Ω)=0,t≥0其中γ为正常数,Ω■R~n为有界域,当n≥3时,1
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| 关 键 词： | 半线性波动方程 阻尼 整体存在性 衰减估计 位势井 |
Decay Estimate of Solution for Damped Semilinear Wave Equation |
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| LI Lan,WEN Bin,LIU Ya-cheng.Decay Estimate of Solution for Damped Semilinear Wave Equation[J].Mathematics in Practice and Theory,2011,41(13). |
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| Authors: | LI Lan WEN Bin LIU Ya-cheng |
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| Institution: | LI Lan~1,WEN Bin~1,LIU Ya-cheng~2 (1.College of Science,Jiamusi University,Jiamusi 154007,China) (2.College of Science,Harbin Engineering University,Harbin 150001,China) |
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| Abstract: | In this paper we study the initial-boundary value problem of damped semilinearwave equation u_(tt)-Δu+γu_t=|u|~(p-1)u,x∈Ω,t>0u(x,0)=u_0(x),u_t(x,0)=u_1(x),x∈Ω u|αΩ=0,t≥0 whereγis a positive constant,Ω■R~n is a bounded domain,1
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| Keywords: | Semilinear wave equation damping global existence decay estimate potential wells |
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