| THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA |
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| 引用本文： | 邵志强 陈恕行. THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA[J]. 数学物理学报(B辑英文版), 2005, 25(4): 610-620. DOI: 10.1016/S0252-9602(17)30200-X |
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| 作者姓名： | 邵志强 陈恕行 |
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| 作者单位： | [1]Department of Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China [2]Institute of Mathematics, Fudan University, Shanghai 200433, China |
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| 基金项目： | 国家自然科学基金，福州大学校科研和教改项目，Science and Technology Foundation of Fujian Province，Science and Technology Developmental Foundation of Fuzhou University |
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| 摘 要： | 1IntroductionAs we well know,the study of the local existence of discontinuous solutions to semilinearor quasi-linear hyperbolic systems in higher dimension spaces has attracted considerable at-tention of many well-known mathematicians,thanks to A.Majda’…
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| 关 键 词： | 非线性混合问题 中断数据 对称双曲线系统 边界条件 |
| 收稿时间： | 2003-02-12 |
THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA |
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| Shao Zhiqiang,Chen Shuxing. THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA[J]. Acta Mathematica Scientia, 2005, 25(4): 610-620. DOI: 10.1016/S0252-9602(17)30200-X |
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| Authors: | Shao Zhiqiang Chen Shuxing |
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| Affiliation: | 1. Laboratory of advanced methods for high-dimensional data analysis, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin ave., Nizhny Novgorod 603950, Russia;2. Scientific and Educational Mathematical Center ”Mathematics of Future Technologies”, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin ave., Nizhny Novgorod 603950, Russia;3. Neuroscience and Cognitive Technology Laboratory, Center for Technologies in Robotics and Mechatronics Components, Innopolis University, 1 Universitetskaya str., Innopolis 420500, Russia;4. Neuroscience Research Institute, Samara State Medical University, 89 Chapayevskaya str., Samara 443099, Russia |
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| Abstract: | This paper studies the nonlinear mixed problem for a class of symmetric hyperbolic systems with the boundary condition satisfying the dissipative condition about discontinuous data in higher dimension spaces, establishes the local existence theorem by using the method of a prior estimates, and obtains the structure of singularities of the solutions of such problems. |
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| Keywords: | Nonlinear mixed problem discontinuous data symmetric hyperbolic systems |
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