Strichartz Estimates in Spherical Coordinates

Strichartz Estimates in Spherical Coordinates
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DOI:
10.1512/iumj.2013.62.4970
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发表时间:
2012-02
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
Yonggeun Cho;Sanghyuk Lee
Yonggeun Cho;Sanghyuk Lee
中科院分区:
其他
文献类型:
--
作者:
Yonggeun Cho;Sanghyuk Lee

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本文研究了一类由径向对称伪微分算子定义的色散方程,其初值属于球坐标系下的Sobolev型空间的Schmidhartz估计.我们得到的空间时间估计的最佳可能范围内,包括端点的情况下。
In this paper we study Strichartz estimates for dispersive equations which are defined by radially symmetric pseudo-differential operators, and of which initial data belongs to spaces of Sobolev type defined in spherical coordinates. We obtain the space time estimates on the best possible range including the endpoint cases.