A Decay Property of the Fourier Transform and its Application to the Stokes Problem
A Decay Property of the Fourier Transform and its Application to the Stokes Problem
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傅里叶变换的衰变性质及其在斯托克斯问题中的应用
DOI：
10.1007/pl00000970
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发表时间：
2001
影响因子：
1.3
通讯作者：
Senjo Shimizu
中科院分区：
文献类型：
--
作者：
Y. Shibata;Senjo Shimizu
抽象的。证明了函数的正则性与其傅里叶变换的渐近性之间的最佳关系。作为这一结果的应用，我们给出了Stokes半群在
$ \Bbb R^n $和
$ {\Bbb R}_+^n $当
$1\leqq p\leqq \infty $。
Abstract. 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 Lp-estimates for the Stokes semigroup in
$ \Bbb R^n $ and
$ {\Bbb R}_+^n $ when
$ 1\leqq p\leqq \infty $.