A Sharp Bilinear Estimate for the Klein-Gordon Equation in R1+1

被引：8
|
作者：
Ozawa, Tohru [1 ]
Rogers, Keith M. [2 ]
机构：
[1] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan
[2] UCM, UAM UC3M, CSIC, Inst Ciencias Matemat, Madrid 28049, Spain
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2014年 / 2014卷 / 05期
关键词：
STRICHARTZ INEQUALITIES; MAXIMIZERS; EXISTENCE; TRANSFORMS; DECAY; CONE;
D O I：
10.1093/imrn/rns254
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a sharp bilinear estimate for the one-dimensional Klein-Gordon equation. The proof involves an unlikely combination of five trigonometric identities. We also prove new estimates for the restriction of the Fourier transform to the hyperbola, where the pullback measure is not assumed to be compactly supported.
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页码：1367 / 1378
页数：12
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