| 高维能量超临界5次波动方程局部存在定理 |
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| 引用本文： | 侯秀安,夏红强.高维能量超临界5次波动方程局部存在定理[J].河南师范大学学报(自然科学版),2013,41(4):16-18,49. |
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| 作者姓名： | 侯秀安 夏红强 |
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| 作者单位： | 1. 华中科技大学软件学院,武汉,430074
2. 武汉纺织大学数学与计算机学院,武汉,430073 |
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| 基金项目： | 国家自然科学基金，河南省国际合作基金 |
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| 摘 要： | 研究散焦的能量超临界的5次波动方程utt-Δu+|u|4 u=0,(x∈IRd)的初值问题,证明了当维数d大于4时解的局部存在性和解的时空Strichartz范数估计.
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| 关 键 词： | 能量超临界 非线性波动方程 压缩映射 |
Local Existence Theorem for the Defocusing Energy-supercritical Quintic Nonlinear Wave Equation |
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| HOU Xiuan
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XIA Hongqiang.Local Existence Theorem for the Defocusing Energy-supercritical Quintic Nonlinear Wave Equation[J].Journal of Henan Normal University(Natural Science),2013,41(4):16-18,49. |
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| Authors: | HOU Xiuan XIA Hongqiang |
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| Institution: | 1.School of Software and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;2.School of Mathematics and Computer Science,Wuhan Textile University,Wuhan 430073,China) |
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| Abstract: | In this paper,we study the initial value problem of the defocusing energy supercritical quintic wave equation utt-Δu+|u|4 u=0,and it proves the local existence and Strichartz norm estimate of its solution for dimension d>4. |
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| Keywords: | energy supercritical nonlinear wave equation contraction map |
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