Spectral cluster estimates for metrics of Sobolev regularity
Spectral cluster estimates for metrics of Sobolev regularity
复制标题
Sobolev 规律性指标的谱簇估计
DOI：
10.1090/s0002-9947-08-04638-2
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发表时间：
2008
影响因子：
1.3
通讯作者：
Matthew D. Blair
中科院分区：
文献类型：
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作者：
Matthew D. Blair
我们调查谱簇估计紧流形配备黎曼度量的正则性是由它包含在一个Sobolev空间足够高的顺序。问题归结为得到的L P估计的波动方程所示，采用波包技术。
We investigate spectral cluster estimates for compact manifolds equipped with a Riemannian metric whose regularity is determined by its inclusion in a Sobolev space of sufficiently high order. The problem is reduced to obtaining L P estimates for the wave equation which are shown by employing wave packet techniques.