| 一阶非齐次拟线性双曲组的柯西问题整体经典解的存在性 |
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| 引用本文： | 武佩霞.一阶非齐次拟线性双曲组的柯西问题整体经典解的存在性[J].数学年刊A辑(中文版),2006(1). |
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| 作者姓名： | 武佩霞 |
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| 作者单位： | 复旦大学数学科学学院，东北财经大学数量经济系 辽宁 大连 116025，上海 200433 |
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| 基金项目： | 国家自然科学基金(No．10225102)
教育部博士点基金资助的项目． |
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| 摘 要： | 本文考察了弱线性退化的一阶非齐次拟线性严格双曲组具有小初值的柯西问题．在非齐次项满足匹配条件的假设下,给出了精细的波的分解公式,利用这些公式,证明了整体C1解的存在唯一性和稳定性．
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| 关 键 词： | 整体经典解 柯西问题 弱线性退化 匹配条件 |
Global Classical Solutions to the Cauchy Problem for General First Order Inhomogeneous Quasilinear Hyperbolic Systems |
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| WU Peixia School of Mathematics Sciences,Fudan Universty,Shanghai ,China.Global Classical Solutions to the Cauchy Problem for General First Order Inhomogeneous Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics,2006(1). |
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| Authors: | WU Peixia School of Mathematics Sciences Fudan Universty Shanghai China |
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| Institution: | WU Peixia School of Mathematics Sciences,Fudan Universty,Shanghai 200433,China, Department of Quantitative Economics,Dongbei University of Finance and Economics,Dalian 116025,Liaoning,China. |
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| Abstract: | This paper considers the Cauchy problem for general first order inhomogeneous quasilinear hyperbolic systems. Under the matching condition, the author first gives the refine formulas on the decomposition of wave. By these formulas, global existence of the C1 solution and its L1 stability are obtained. |
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| Keywords: | Global classical solutions Cauchy problem Weak linear deneracy Matching condition |
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