Spherically averaged endpoint Strichartz estimates for the two-dimensional Schr

Spherically averaged endpoint Strichartz estimates for the two-dimensional Schr
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DOI:
10.1080/03605300008821556
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发表时间:
1998-11
期刊:
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影响因子:
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通讯作者:
T. Tao
T. Tao
中科院分区:
其他
文献类型:
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作者:
T. Tao

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已知薛定谔方程的端点薛定谔估计在二维中是错误的[7]。然而,如果一个平均值的解决方案在L2的角度变量,我们表明,齐次端点和延迟的半adendoint估计举行,但完全延迟端点失败。特别是,这些估计的原始版本适用于径向数据
The endpoint Strichartz estimates for the Schrodinger equation is known to be false in two dimensions[7]. However, if one averages the solution in L2 in the angular variable, we show that the homogeneous endpoint and the retarded half­endoint estimates hold, but the full retarded endpoint fails. In particular, the original verisions of these estimates hold for radial data