A Decay Property of the Fourier Transform and its Application to the Stokes Problem

被引：63

作者：

Shibata, Yoshihiro ^{[1
]}

Shimizu, Senjo ^{[2
]}

机构：

[1] Waseda Univ, Sch Sci & Engn, Dept Math Sci, Ohkubo 3-4-1, Tokyo 1698555, Japan

[2] Shizuoka Univ, Fac Engn, Hamamatsu, Shizuoka 4328561, Japan

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2001年 / 3卷 / 03期

关键词：

Fourier transform; decay property; Stokes flow; L-1-estimate; L-infinity-estimate;

D O I：

10.1007/PL00000970

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an optimal relationship between the regularity of a function and the asymptotic behavior of its Fourier transform. As an application of this result we show L-p-estimates for the Stokes semigroup in R-n and R-+(n) when 1 <= p <= infinity.

引用

页码：213 / 230

页数：18

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