| 5维半线性色散方程弱解的正则性 |
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| 引用本文： | 许宁. 5维半线性色散方程弱解的正则性[J]. 常熟理工学院学报, 2009, 23(8): 1-10 |
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| 作者姓名： | 许宁 |
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| 作者单位： | 南京政治学院基础部,江苏,南京,210003 |
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| 摘 要： | 考虑初值在单位球面上间断的5维半线性色散方程弱解的奇性结构，利用Stdchartz不等式的端点估计和交换予技术，证明了弱解在除去特征锥面上是Holder正则的．
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| 关 键 词： | 色散波动方程 切矢量域 Strichartz不等式 拟微分算子 |
Regularity of Weak Solutions to 5-D Semilinear Dispersive Wave Equations |
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| XU Ning. Regularity of Weak Solutions to 5-D Semilinear Dispersive Wave Equations[J]. Journal of Changshu Institute of Technology, 2009, 23(8): 1-10 |
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| Authors: | XU Ning |
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| Affiliation: | XU Ning (Department of Foundational Courses,PLA Nanjing Institute of Politics,Nanjing 210003,China) |
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| Abstract: | This paper is concerned with the singularity structures of weak solutions to 5-D semilinear dispersive wave equations with discontinuous initial data. Combining Strichartz＇ s inequality with the commutator argument techniques, the paper shows that the weak solutions are Holder＇s regularity away from the focusing cone surface and the outgoing cone surface. |
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| Keywords: | dispersive wave equation tangent vector fields Strichartz' s inequality pseudodifferential operator |
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