| INITIAL BOUNDARY VALUE PROBLEMS FOR SEMILINEAR WAVE EQUATIONS WITH DISCONTINUOUS DATA |
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| 作者姓名： | 邵志强 |
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| 作者单位： | Dept. of |
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| 基金项目： | Research supported by the Natural Science Foundation of Fujian Province, China. |
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| 摘 要： | This paper studies the initial boundary problems for semilinear strictly hyperbolic second-order equations with discontinuous data. Under the uniform Lopatinski boundary condition, the local existence theorem of discontinuous solutions and the structure of singularities of the solutions are obtained.
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| 关 键 词： | 初始边值问题 半线性自同构 波动方程 双曲线 二阶分析 余法线估计 算子 |
INITIAL BOUNDARY VALUE PROBLEMS FOR SEMILINEAR WAVE EQUATIONS WITH DISCONTINUOUS DATA |
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| Shao Zhiqiang.INITIAL BOUNDARY VALUE PROBLEMS FOR SEMILINEAR WAVE EQUATIONS WITH DISCONTINUOUS DATA[J].微分方程年刊(英文版),2004,20(1):70-76. |
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| Authors: | Shao Zhiqiang |
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| Institution: | Dept.ofMath.,FuzhouUniversity,Fuzhou350002 |
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| Abstract: | This paper studies the initial boundary problems for semilinear strictly hyperbolic second-order equations with discontinuous data. Under the uniform Lopatinski boundary condition, the local existence theorem of discontinuous solutions and the structure of singularities of the solutions are obtained. |
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| Keywords: | initial boundary value problems discontinuous data conormal estimates characteristic surface semilinear hyperbolic equations |
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