| 具耗散项拟线性双曲型方程组的边值问题 |
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| 引用本文： | 刘法贵. 具耗散项拟线性双曲型方程组的边值问题[J]. 数学学报, 1999, 42(5): 937-944. DOI: cnki:ISSN:0583-1431.0.1999-05-024 |
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| 作者姓名： | 刘法贵 |
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| 作者单位： | 华北水电学院基础部,郑州,450045 |
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| 基金项目： | 河南省教委基金!98110001 |
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| 摘 要： | 本文考虑具耗散项一阶拟线性双曲型方程组的具有自由边界的典型自由边值问题．在一些合理假设下，证明了其经典解的整体存在性定理．
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| 关 键 词： | 拟线性双曲型方程组 边值问题 自由边界 经典解 |
| 修稿时间： | :1998-06-1 |
Boundary Value Problem for Quasilinear Hyperbolic Systems with Dissipative Terms |
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| Liu Fagui. Boundary Value Problem for Quasilinear Hyperbolic Systems with Dissipative Terms[J]. Acta Mathematica Sinica, 1999, 42(5): 937-944. DOI: cnki:ISSN:0583-1431.0.1999-05-024 |
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| Authors: | Liu Fagui |
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| Affiliation: | Liu Fagui (North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450045, P. R. China) |
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| Abstract: | In this paper the author considers typical free boundary value problem for quasilinear hyperbolic system with dissipative term. Under certain assumptions, the global resolvabihty of C1 solution is obtained. |
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| Keywords: | Quasilinear hyperbolic system Boundary value problem Free boundary Classical solution |
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