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 uxuxx- a2 uxxtt=0的初边值问题整体解的存在和爆破性 .

Abstract: 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)uxu(xx)-a2u(xxtt)=0.