| GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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| 引用本文： | YAN Ping. GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS[J]. 数学年刊B辑(英文版), 2002, 23(3): 335-348 |
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| 作者姓名： | YAN Ping |
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| 作者单位： | YAN PING Institute of Mathematics，Fudan University，Shanghai 200433，China |
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| 摘 要： | By means of the continuous Glimm functional,a proof is given on the global existence ofclassical solutions to Cauchy problem for general first order quasilinear hyperbolic systems withsmall initial total rariation.
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| 关 键 词： | 经典解 拟线性双曲系统 特征值 Glimm泛函 存在性 Cauchy问题 全变差 波分解 |
| 收稿时间： | 2007-01-02 |
GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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| YAN Ping. GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS[J]. Chinese Annals of Mathematics,Series B, 2002, 23(3): 335-348 |
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| Authors: | YAN Ping |
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| Affiliation: | Institute of Mathematics,Fudan University,Shanghai 200433,China. |
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| Abstract: | By means of the continuous Glimm functional, a proof is given on the global existence of classical solutions to Cauchy problem for general first order quasilinear hyperbolic systems with small initial total variation. |
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| Keywords: | Weak linear degeneracy Continuous Glimm functional Total variation Global classical solution Quasilinear hyperbolic system |
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