| LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN SEVERAL SPACE DIMENSIONS |
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| 引用本文： | Zhou Yi. LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN SEVERAL SPACE DIMENSIONS[J]. 数学年刊B辑(英文版), 1997, 18(2): 223-232 |
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| 作者姓名： | Zhou Yi |
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| 摘 要： | ＬＯＣＡＬＥＸＩＳＴＥＮＣＥＴＨＥＯＲＥＭＦＯＲＦＩＲＳＴＯＲＤＥＲＳＥＭＩＬＩＮＥＡＲＨＹＰＥＲＢＯＬＩＣＳＹＳＴＥＭＳＩＮＳＥＶＥＲＡＬＳＰＡＣＥＤＩＭＥＮＳＩＯＮＳＺＨＯＵＹＩＡｂｓｔｒａｃｔＴｈｉｓｐａｐｅｒｓｔｕｄｉｅｓｆｉｒｓｔｏｒｄｅ...
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| 关 键 词： | 半线性系统 Cauchy问题 初值数据 双曲线方程 |
| 收稿时间： | 1994-09-02 |
LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLICSYSTEMS IN SEVERAL SPACE DIMENSIONS |
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| Zhou Yi. LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLICSYSTEMS IN SEVERAL SPACE DIMENSIONS[J]. Chinese Annals of Mathematics,Series B, 1997, 18(2): 223-232 |
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| Authors: | Zhou Yi |
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| Affiliation: | ZHOU YI * |
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| Abstract: | This paper studies first order semilinear hyperbolic systems in $n$ ($nge 2$) space dimensions. Under the hypothesis that the system satisfies so called `null condition',the local well-posedness for its Cauchy problem with initial data in$H^{frac{n-1}{2}}$ is proved. |
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| Keywords: | Semilinear hyperbolic systems Local well posedness Cauchy problem |
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