SOME SHARP BILINEAR SPACE-TIME ESTIMATES FOR THE WAVE EQUATION

被引：7

作者：

Bez, Neal ^{[1
]}

Jeavons, Chris ^{[2
]}

Ozawa, Tohru ^{[3
]}

机构：

[1] Saitama Univ, Grad Sch Sci & Engn, Dept Math, Saitama 3388570, Japan

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[3] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

来源：

MATHEMATIKA | 2016年 / 62卷 / 03期

关键词：

STRICHARTZ ESTIMATE; NULL FORMS; REGULARITY; INEQUALITIES; SOBOLEV; CONE;

D O I：

10.1112/S0025579316000012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a family of sharp bilinear space-time estimates for the halfwave propagator e(it root-Delta). As a consequence, for radially symmetric initial data, we establish sharp estimates of this kind for a range of exponents beyond the classical range.

引用

页码：719 / 737

页数：19

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