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一类色散半群的基本估计
Basic Estimates for a Class of Dispersive Semigroups

DOI: 10.12677/AAM.2023.124187, PP. 1804-1809

Keywords: “Stationary Set”估计,振荡积分,Lp' ? Lp估计
“Stationary Set”Estimate
, Oscillation Integral, Lp' ? Lp Estimates

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Abstract:

本文通过Zhang得到的估计振荡积分方法研究了色散半群 F?1ei[xξ+(ξn+ξ)t]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.
In this paper, we study the problem of one-dimensional attenuation estimation of dis-persion semigroups F?1ei[xξ+(ξn+ξ)t]F 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.

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