| 一类半线性对称双曲组的强间断初边值问题 |
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| 引用本文： | 邵志强.一类半线性对称双曲组的强间断初边值问题[J].福州大学学报(自然科学版),2001,29(5):5-9. |
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| 作者姓名： | 邵志强 |
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| 作者单位： | 福州大学数学系, |
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| 基金项目： | 福建省教育厅资助项目 (JB0 0 0 78) |
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| 摘 要： | 探讨了一类变系数对称双曲组可对角化问题 ,并利用先验估计法证明了这类半线性对称双曲组在最大耗散边界条件下的强间断初边值问题局部存在唯一的间断解 .
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| 关 键 词： | 对称双曲组 特征曲面 余法估计 |
| 文章编号： | 1000-2243(2001)05-0005-05 |
| 修稿时间： | 2001年3月29日 |
Initial boundary value problems for a class of semilinear symmetric hyperbolic systems with discontinuous data |
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| SHAO Zhi-qiang.Initial boundary value problems for a class of semilinear symmetric hyperbolic systems with discontinuous data[J].Journal of Fuzhou University(Natural Science Edition),2001,29(5):5-9. |
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| Authors: | SHAO Zhi-qiang |
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| Institution: | SHAO Zhi-qiang (Department of Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China) |
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| Abstract: | The author studies the initial boundary value problems for a class of semilinear diagonalizable symmetric hyperbolic systems with the boundary conditions satisty a dissipative condition about discontinuous data, the local existence of discontinuous solutions to the proklems is established. |
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| Keywords: | symmetric hyperbolic systems characteristic surface conormal estimates |
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