%0 Journal Article
%T 一类色散半群的基本估计<br>Basic Estimates for a Class of Dispersive Semigroups
%A 黄慧文
%J Advances in Applied Mathematics
%P 1804-1809
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124187
%X 本文通过Zhang得到的估计振荡积分方法研究了色散半群 F<sup>？1</sup>e<sup>i[xξ+(ξn+ξ)t]</sup>F  在n 为奇数且有界时
的一维衰减估计问题, 展示了该振荡积分估计方法在研究半群衰减问题中的重要性.<br />
In this paper, we study the problem of one-dimensional attenuation estimation of dis-persion semigroups <span>F</span><sup>？1</sup><span>e</span><sup>i[xξ+(ξn+ξ)t]</sup><span>F</span> when n is odd and bounded by using the estimated oscillatory integration method obtained by Zhang. The importance of the estimated oscillatory integration method in the study of semigroup attenuation is demonstrated.
%K “Stationary Set”估计，振荡积分，L<sup>p'</sup> ? L<sup>p</sup>估计<br>“Stationary Set”Estimate
%K Oscillation Integral
%K L<sup>p'</sup> ? L<sup>p</sup> Estimates
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64729