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具有Hilbert变换的波动方程小初值解的整体存在性 被引量:1

The Global Existence of Small Amplitude Solution of Wave Equations with Hilbert Transform
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摘要 通过对一类振荡积分的估计,利用压缩映射原理,得到了一类具有Hilbert变换的波动方程小初值解的整体存在性. By means of contraction principle and the estimate to oscillatory integrals,the global existence of small amplitude solution of wave equations with Hilbert transform is obtained.
出处 《河南大学学报(自然科学版)》 CAS 北大核心 2010年第6期571-574,共4页 Journal of Henan University:Natural Science
基金 国家自然科学基金资助项目(10771166)
关键词 整体解 小初值 振荡积分 global solution small amplitude oscillatory integrals
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参考文献7

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同被引文献5

  • 1Degasperis A, Procesi M. Asymptotic integrability [ M]. Singapore: World Scientific, 1999: 23-37.
  • 2Liu Yue, Yin Zhaoyang. Global existence and blow-up phenomena for the Degasperis-Procesi equation [ J ]. Com- mun Math Pbys, 2006,267 : 801-820.
  • 3Matsuno Y. Multisoliton solutions of the Degasperis- Procesi equation and their peakon limit [ J ]. Inverse Prob- lems, 2005,21(5) : 1553-1570.
  • 4Miao Changxiang. Harmonic analysis and applications to partial differential equations [ M ]. 2nd. Beijing: Science Press, 2004.
  • 5Guo Zihua, Peng Lizhong, Wang Baoxiang. Decay es- timates for a class of wave equations [ J ]. Journal of Function- al Analysis, 2008,254(6) : 1642-1660.

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