| 非线性Klein-Gordon系统生命跨度的上界估计 |
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| 引用本文： | 阳志锋,罗李平.非线性Klein-Gordon系统生命跨度的上界估计[J].大学数学,2008,24(4). |
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| 作者姓名： | 阳志锋 罗李平 |
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| 基金项目： | 湖南省自然科学基金，衡阳师范学院科研项目 |
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| 摘 要： | 考虑如下非线性Klein-Gordon系统初边值问题解的生命跨度:utt-Δu+α2u+λuv2=0,vtt-Δu+β2v+λu2v=0(x,t)∈Ω×0,T),这里,Ω是R3中具有光滑边界的有界域,α,β为非零实数,λ<0,T>0.得到了其解的生命跨度的上界估计,且当能量为正时得到了一个新的能量上界.
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| 关 键 词： | 生命跨度 能量函数 非线性 Klein-Gordon系统 |
Super Bound Estimate of Lifespan for a Nonlinear Klein-Gordon System |
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| YANG Zhi-feng,LUO Li-ping.Super Bound Estimate of Lifespan for a Nonlinear Klein-Gordon System[J].College Mathematics,2008,24(4). |
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| Authors: | YANG Zhi-feng LUO Li-ping |
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| Abstract: | Considered the lifespan of the solution for the following nonlinear Klein-Gordon system with the initial-boundary value:utt-Δu+α2u+λuv2=0,vtt-Δu+β2v+λu2v=0(x,t)∈Ω×0,T),where Ω is a bounded field in R3 with sufficiently smooth boundary Ω,and α,β are non-zero real numbers,λ<0,T>0.Some estimates for the lifespan of the solution are obtained.And a new upper bound is put forward when the initial energy is positive. |
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| Keywords: | lifespan energy function nonlinear Klein-Gordon system |
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