| POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS＊＊＊ |
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| 作者姓名： | WANG Weike YANG Xiongfeng |
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| 作者单位： | WANG WEIKE YANG XIONGFENG Department of Mathematics，Shanghai Jiaotong University，Shanghai 200030，China. School of Mathematics and Statistics，Wuhan University，Wuhan 430072，China. |
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| 基金项目： | the National Natural Science Foundation of China(No.10131050). |
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| 摘 要： | This paper considers the pointwise estimate of the solutions to Cauchy problem for quasilin-ear hyperbolic systems, which bases on the existence of the solutions by using the fundamental solutions. It gives a sharp pointwise estimates of the solutions on domam under consideration. Specially, the estimate is precise near each characteristic direction.
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| 关 键 词： | 逐点估计 存在性 Cauchy问题 拟线性双曲型方程 弱退化 时间渐近性 基解 |
| 收稿时间： | 9/2/2016 12:00:00 AM |
POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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| WANG Weike,YANG Xiongfeng.POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,2003,24(4):457-468. |
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| Authors: | WANG Weike and YANG Xiongfeng |
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| Institution: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China
2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | This paper considers the pointwise estimate of the solutions to Cauchy problem for quasilin-ear hyperbolic systems, which bases on the existence of the solutions by using the fundamental solutions. It gives a sharp pointwise estimates of the solutions on domam under consideration. Specially, the estimate is precise near each characteristic direction. |
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| Keywords: | Weakly linearly degenerate Matching condition Normalize translation and normalize coordinate |
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