| 具有高阶耗散项指数的Cauchy问题 |
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| 引用本文： | 王玉东.具有高阶耗散项指数的Cauchy问题[J].南阳师范学院学报,2014(9):11-13. |
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| 作者姓名： | 王玉东 |
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| 作者单位： | 华北水利水电大学数学与信息科学学院,河南郑州,450011 |
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| 摘 要： | 利用初值扰动法,讨论了Cauchy问题中的一类具有高阶耗散项指数对严格双曲型方程组解的影响,并得到发生爆破时生命跨度的范围.
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| 关 键 词： | 双曲方程组 Cauchy问题 局部经典解 整体经典解 |
Cauchy problem of the high order dissipation in dex |
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| WANG Yu-dong.Cauchy problem of the high order dissipation in dex[J].Journal of Nanyang Teachers College,2014(9):11-13. |
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| Authors: | WANG Yu-dong |
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| Institution: | WANG Yu-dong ( North China University of Water Conservancy and Hydropower, Zhengzhou 450011, China) |
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| Abstract: | This paper discusses the effect of a class of higher-order dissipative term＇ s index on the strict hyperbolic equations in the Cauchy problem by initial perturbation method, and gets the range of the life span at the time of explosion. |
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| Keywords: | hyperbolic systems Cauchy problem local classical solution global classical solution |
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