| 关于一类非线性双曲方程组的二维Cauchy问题 |
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| 引用本文： | 黄飞敏.关于一类非线性双曲方程组的二维Cauchy问题[J].数学学报,1998,41(4):707-714. |
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| 作者姓名： | 黄飞敏 |
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| 作者单位： | 中国科学院应用数学所 |
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| 摘 要： | 本文通过引进新的广义解定义，对一类非线性双曲方程组的二维Ｃａｕｃｈｙ问题，证明了解的存在唯一性．并且，解可能含δ波．
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| 关 键 词： | 双曲方程组，广义解，Lebesgue－Stieltjes积分，二维Cauchy问题 |
On the Two-Dimensional Cauchy Problem of a Hyperbolic System |
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| Huang Feimin.On the Two-Dimensional Cauchy Problem of a Hyperbolic System[J].Acta Mathematica Sinica,1998,41(4):707-714. |
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| Authors: | Huang Feimin |
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| Abstract: | In this paper, we prove the global existence of generalized solutions to two dimensional Cauchy problem of a hyperbolic system by introducing a new definition of generalized solution. Moreover,the solution may involve delta waves. |
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| Keywords: | Hyperbolic system Generalized solution Lebesgue-Stieltjes integral Two dimensional Cauchy problem |
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