| 非齐次非对称波动方程的Strichartz估计 |
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| 引用本文： | 樊丹,杨晗. 非齐次非对称波动方程的Strichartz估计[J]. 西南民族学院学报(自然科学版), 2014, 0(1): 87-90 |
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| 作者姓名： | 樊丹 杨晗 |
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| 作者单位： | [1]西南交通大学希望学院,成都610031 [2]西南交通大学数学学院,成都610031 |
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| 摘 要： | 通过研究齐次非对称波动方程的解,应用Duhamel’s原理,得到非齐次非对称波动方程柯西问题的形式解.与此同时,借助Hardy-Littlewood-Sobolev与lderoH??不等式,给出这类非齐次方程解的Strichartz估计.
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| 关 键 词： | Strichartz估计 非齐次非对称波动方程 Duhamel’s原理 |
Strichartz estimates for asymmetric nonhomogeneous wave equation |
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| DAN Fan,HAN Yang. Strichartz estimates for asymmetric nonhomogeneous wave equation[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2014, 0(1): 87-90 |
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| Authors: | DAN Fan HAN Yang |
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| Affiliation: | (School of Mathematics, Hope College, Southwest Jiaotong University, Chengdu 610031, R R.C.; 2. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, P. R. C.) |
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| Abstract: | The solutions for inhomogeneous asymmetric wave equation are obtained, with the help of the solutions for the homogeneous asymmetric wave equation and Duhamel principle. Meanwhile, the Strichartz estimates on solutions to asymmetric nonhomogeneous wave equations are established by Hardy-Littlewood-Sobolev and Holder inequality. |
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| Keywords: | Strichartz estimate asymmetric nonhomogenous wave equation Duhamel＇s principle |
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