| 一阶拟线性可对称化双曲型方程组Cauchy问题的整体光滑解 |
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| 引用本文： | 秦铁虎.一阶拟线性可对称化双曲型方程组Cauchy问题的整体光滑解[J].复旦学报(自然科学版),1987(1). |
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| 作者姓名： | 秦铁虎 |
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| 作者单位： | 复旦大学数学系 |
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| 摘 要： | 本文利用拟微分算子的L_2~-估计,对具有耗散项的一阶拟线性可对称化双曲型偏微分方程组,证明了当初始数据充分小时,其Cauchy问题具有整体光滑解.
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| 关 键 词： | 双曲型方程组 拟线性偏微分方程组 可对称化方程 耗散 Cauchy问题 |
ON GLOBAL SMOOTH SOLUTIONS TO CAUCHY PROBLEMS FOR FIRST ORDER QUASIUNEAR SYMMETRIZABLE HYPERBOUC SYSTEMS |
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| Qin Tiehu.ON GLOBAL SMOOTH SOLUTIONS TO CAUCHY PROBLEMS FOR FIRST ORDER QUASIUNEAR SYMMETRIZABLE HYPERBOUC SYSTEMS[J].Journal of Fudan University(Natural Science),1987(1). |
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| Authors: | Qin Tiehu |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper studies the first order quasilinear symmetrizable hyperbolic system of partial differential equations with a dissipative term. Using the L_2-estimates on pseudo -differential operators, the author proves that if the initial values are sufficiently small, then the Cauchy problem admits a global smooth solution. |
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| Keywords: | hyperbolic system quasilinear symmetrizable operator dissipative term Cauchy problem |
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