一类非线性高阶双曲方程的稳定和不稳定集(英文)
Stable and unstable sets for nonlinear hyperbolic equations of higher order
摘要
通过构造稳定和不稳定集 ,证明了方程 utt- [a0 + na1| ux| n-2 ux]uxx- a2 uxxtt=0的初边值问题整体解的存在和爆破性 .
By constructing so-called stable set and unstable set,the global existence and blowing-up property of solutions are discussed to the initial boundary value problem for the equationu(tt)-[a0+na1｜ux｜^(n-2)ux]u(xx)-a2u(xxtt)=0.
出处
《信阳师范学院学报（自然科学版）》
CAS
2004年第1期18-20,24,共4页
Journal of Xinyang Normal University(Natural Science Edition)
关键词
非线性高阶双曲方程
稳定和不稳定集
整体解
爆破性
nonlinear hyperbolic equation
stable and unstable sets
global soution
blow up of solution
参考文献11
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