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具有多个非线性源项的波动方程

刘亚成 徐润章 于涛

刘亚成, 徐润章, 于涛. 具有多个非线性源项的波动方程[J]. 应用数学和力学, 2007, 28(9): 1079-1086.
引用本文: 刘亚成, 徐润章, 于涛. 具有多个非线性源项的波动方程[J]. 应用数学和力学, 2007, 28(9): 1079-1086.
LIU Ya-cheng, XU Run-zhang, YU Tao. Wave Equations With Several Nonlinear Source Terms[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1079-1086.
Citation: LIU Ya-cheng, XU Run-zhang, YU Tao. Wave Equations With Several Nonlinear Source Terms[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1079-1086.

具有多个非线性源项的波动方程

基金项目: 国家自然科学基金资助项目(10271034)
详细信息
    作者简介:

    刘亚成(1941- ),男,吉林人,教授(Tel:+86-451-82518277);徐润章(1982- ),男,河北人,博士(联系人.E-mail:xurunzh@yahoo.com.cn).

  • 中图分类号: O175.26;O175.27

Wave Equations With Several Nonlinear Source Terms

  • 摘要: 利用位势井方法研究在有界区域上具有多个非线性源项的波动方程初边值问题.给出了位势井的结构和位势井深度函数的性质.通过引进位势井族得到了在这些问题的流之下的一些集合不变性以及解的真空隔离,揭示了只要问题的初值属于位势井内或位势井外,则问题在今后所有时间内的解都存在于位势井内或井外,同时存在一个没有解的空间区域.进而给出了解的整体存在和不存在的门槛结果.最后,利用相同的方法讨论了具有临界初始条件的问题.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2006-07-26
  • 修回日期:  2007-06-28
  • 刊出日期:  2007-09-15

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