期刊论文

Lifespan of the Solution for a Nonlinear Klein-Gordon System

中文

江西师范大学学报(自然科学版)

1000-5862

2006

30

6

551-555

10.16357/j.cnki.issn1000-5862.2006.06.010

05JJ40008:湖南省自然科学基金 06C198:湖南省教育厅科学研究项目

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：{un-△u＋α^2u＋λw^2=0 vu-△v＋β^2u＋λu^2v=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-bound- value ：{un-△u＋α^2u＋λw^2=0 vu-△v＋β^2u＋λu^2v=0,（x,t）∈Ω×[0,T],where Ω is a bounded field in R3 with sufficiently smooth boundary ЭΩ , 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 forwar...