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非齐次非对称波动方程的Strichartz估计 被引量:1

Strichartz estimates for asymmetric nonhomogeneous wave equation
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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. 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.
作者 樊丹 杨晗
出处 《西南民族大学学报(自然科学版)》 CAS 2014年第1期87-90,共4页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 STRICHARTZ估计 非齐次非对称波动方程 Duhamel’s原理 Strichartz estimate asymmetric nonhomogenous wave equation Duhamel's principle
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参考文献8

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