一类色散半群的基本估计

doi:10.12677/AAM.2023.124187

期刊菜单

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, PDF, HTML,
作者: 黄慧文：浙江师范大学数学科学学院，浙江金华
关键词: “Stationary Set”估计；振荡积分；L^p' - L^p估计；“Stationary Set”Estimate； Oscillation Integral； L^p' - L^p Estimates

摘要: 本文通过Zhang得到的估计振荡积分方法研究了色散半群 F⁻¹e^{i[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.

Abstract: In this paper, we study the problem of one-dimensional attenuation estimation of dis-persion semigroups F⁻¹e^{i[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.

文章引用：黄慧文. 一类色散半群的基本估计[J]. 应用数学进展, 2023, 12(4): 1804-1809. https://doi.org/10.12677/AAM.2023.124187

参考文献

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