张宏伟, 辛向军. 一类非线性高阶双曲方程的稳定和不稳定集(英文)[J]. 信阳师范学院学报(自然科学版), 2004, 17(1): 18-20.
引用本文: 张宏伟, 辛向军. 一类非线性高阶双曲方程的稳定和不稳定集(英文)[J]. 信阳师范学院学报(自然科学版), 2004, 17(1): 18-20.
ZHANG Hong-wei, XIN Xiang-jun. Stable and unstable sets for nonlinear hyperbolic equations of higher order[J]. Journal of Xinyang Normal University (Natural Science Edition), 2004, 17(1): 18-20.
Citation: ZHANG Hong-wei, XIN Xiang-jun. Stable and unstable sets for nonlinear hyperbolic equations of higher order[J]. Journal of Xinyang Normal University (Natural Science Edition), 2004, 17(1): 18-20.

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.

     

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