| GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO A KIND OF MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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| 作者姓名： | Guo Fei |
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| 作者单位： | [1]School of Mathematical Sciences, Fudan University, Shanghai 200433, China; [2]Department of Mathematics, Qufu Normal University, Shandong, 273165, China. |
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| 摘 要： | In this paper, the mixed initial-boundary value problem for general first order quasi- linear hyperbolic systems with nonlinear boundary conditions in the domain D = {（t, x） ｜ t ≥ 0, x ≥0} is considered. A sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution is given.
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| 关 键 词： | 弱间断解 混合初始边值问题 拟线性双曲系统 全局存在性 |
| 收稿时间： | 2 October 2006 |
| 修稿时间： | 2006-10-02 |
Global existence of weakly discontinuous solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems |
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| Guo Fei.GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO A KIND OF MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Applied Mathematics A Journal of Chinese Universities,2007,22(2):181-200. |
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| Authors: | Guo Fei |
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| Institution: | (1) School of Mathematical Sciences, Fudan University, Shanghai, 200433, China;(2) Department of Mathematics, Qufu Normal University, Shandong, 273165, China |
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| Abstract: | In this paper, the mixed initial-boundary value problem for general first order quasilinear hyperbolic systems with nonlinear boundary conditions in the domain D = {(t, x) | t ≥0, x ≥ 0} is considered. A sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution is given. |
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| Keywords: | quasilinear hyperbolic system mixed initial-boundary value problem global weakly discontinuous solution weak linear degeneracy |
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