Some sharp bilinear space-time estimates for the wave equation

Some sharp bilinear space-time estimates for the wave equation
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DOI:
10.1112/s0025579316000012
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发表时间:
2015-06
期刊:
arXiv: Analysis of PDEs
影响因子:
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通讯作者:
N. Bez;Chris Jeavons;T. Ozawa
N. Bez;Chris Jeavons;T. Ozawa
中科院分区:
其他
文献类型:
--
作者:
N. Bez;Chris Jeavons;T. Ozawa

文献摘要

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我们证明了一族尖锐的双线性时空估计的半波传播。因此,对于径向对称的初始数据,我们建立这种尖锐的估计范围内的指数超出经典的范围。
We prove a family of sharp bilinear space-time estimates for the half-wave propagator. As a consequence, for radially symmetric initial data, we establish sharp estimates of this kind for a range of exponents beyond the classical range.