期刊论文

Super Bound Estimate of Lifespan for a Nonlinear Klein-Gordon System

中文

大学数学

1672-1454

2008

24

4

44-48

10.3969/j.issn.1672-1454.2008.04.010

05JJ40008:湖南省自然科学基金 2004D12:云南农业大学学院科研项目

本校为第一机构

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.

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 R^3 with sufficiently smooth boundary δΩ, 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 forwa...